1072849365 has 72 divisors (see below), whose sum is σ = 2175285528. Its totient is φ = 487710720.

The previous prime is 1072849363. The next prime is 1072849367. The reversal of 1072849365 is 5639482701.

1072849365 is a `hidden beast` number, since 1 + 0 + 7 + 284 + 9 + 365 = 666.

1072849365 is digitally balanced in base 10, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (1072849363) and next prime (1072849367).

It can be written as a sum of positive squares in 4 ways, for example, as 39162564 + 1033686801 = 6258^2 + 32151^2 .

It is not a de Polignac number, because 1072849365 - 2¹ = 1072849363 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

1072849365 is strictly pandigital in base 10.

It is a self number, because there is not a number n which added to its sum of digits gives 1072849365.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1072849363) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 424305 + ... + 426825.

It is an arithmetic number, because the mean of its divisors is an integer number (30212299).

It is a 2-persistent number, because it is pandigital, and so is 2⋅1072849365 = 2145698730, but 3⋅1072849365 = 3218548095 is not.

Almost surely, 2^1072849365 is an apocalyptic number.

1072849365 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1072849365 is an abundant number, since it is smaller than the sum of its proper divisors (1102436163).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1072849365 is a wasteful number, since it uses less digits than its factorization.

1072849365 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2739 (or 2729 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The square root of 1072849365 is about 32754.3793255192. The cubic root of 1072849365 is about 1023.7162162860.

The spelling of 1072849365 in words is "one billion, seventy-two million, eight hundred forty-nine thousand, three hundred sixty-five".