1364362272 has 576 divisors, whose sum is σ = 5196320640. Its totient is φ = 344881152.

The previous prime is 1364362267. The next prime is 1364362273. The reversal of 1364362272 is 2722634631.

1364362272 is a `hidden beast` number, since 1 + 3 + 643 + 6 + 2 + 2 + 7 + 2 = 666.

It is a super-2 number, since 2×1364362272² = 3722968818514003968, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (1364362273) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 20363583 + ... + 20363649.

It is an arithmetic number, because the mean of its divisors is an integer number (9021390).

Almost surely, 2^1364362272 is an apocalyptic number.

1364362272 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1364362272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2598160320).

1364362272 is an abundant number, since it is smaller than the sum of its proper divisors (3831958368).

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

1364362272 is a wasteful number, since it uses less digits than its factorization.

1364362272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 150 (or 129 counting only the distinct ones).

The product of its digits is 72576, while the sum is 36.

The square root of 1364362272 is about 36937.2748318010. The cubic root of 1364362272 is about 1109.1149702076.

The spelling of 1364362272 in words is "one billion, three hundred sixty-four million, three hundred sixty-two thousand, two hundred seventy-two".