1005190272 has 48 divisors (see below), whose sum is σ = 2892543030. Its totient is φ = 335063040.

The previous prime is 1005190271. The next prime is 1005190273. The reversal of 1005190272 is 2720915001.

It is an interprime number because it is at equal distance from previous prime (1005190271) and next prime (1005190273).

It can be written as a sum of positive squares in only one way, i.e., 1005143616 + 46656 = 31704^2 + 216^2 .

It is a tau number, because it is divible by the number of its divisors (48).

It is not an unprimeable number, because it can be changed into a prime (1005190271) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 435129 + ... + 437432.

Almost surely, 2^1005190272 is an apocalyptic number.

1005190272 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1005190272 is an abundant number, since it is smaller than the sum of its proper divisors (1887352758).

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

1005190272 is an equidigital number, since it uses as much as digits as its factorization.

1005190272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 872581 (or 872566 counting only the distinct ones).

The product of its (nonzero) digits is 1260, while the sum is 27.

The square root of 1005190272 is about 31704.7357976691. The cubic root of 1005190272 is about 1001.7271060541.

The spelling of 1005190272 in words is "one billion, five million, one hundred ninety thousand, two hundred seventy-two".