72496459440 has 120 divisors (see below), whose sum is σ = 246203081280. Its totient is φ = 19115154432.

The previous prime is 72496459429. The next prime is 72496459447. The reversal of 72496459440 is 4495469427.

72496459440 is a `hidden beast` number, since 7 + 2 + 4 + 9 + 6 + 4 + 594 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-2 number, since 2×72496459440² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (72496459447) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 501592 + ... + 629751.

It is an arithmetic number, because the mean of its divisors is an integer number (2051692344).

Almost surely, 2^72496459440 is an apocalyptic number.

It is an amenable number.

72496459440 is an abundant number, since it is smaller than the sum of its proper divisors (173706621840).

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

72496459440 is a wasteful number, since it uses less digits than its factorization.

72496459440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1131451 (or 1131442 counting only the distinct ones).

The product of its (nonzero) digits is 8709120, while the sum is 54.

The spelling of 72496459440 in words is "seventy-two billion, four hundred ninety-six million, four hundred fifty-nine thousand, four hundred forty".