72724464402496 has 63 divisors (see below), whose sum is σ = 144625063284093. Its totient is φ = 36283673518080.

The previous prime is 72724464402481. The next prime is 72724464402517. The reversal of 72724464402496 is 69420446442727.

The square root of 72724464402496 is 8527864.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 65644607762496 + 7079856640000 = 8102136^2 + 2660800^2 .

It is a Duffinian number.

It is an unprimeable number.

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 8 ways as a sum of consecutive naturals, for example, 43730885761 + ... + 43730887423.

Almost surely, 2^{72724464402496} is an apocalyptic number.

72724464402496 is the 8527864-th square number.

It is an amenable number.

72724464402496 is a deficient number, since it is larger than the sum of its proper divisors (71900598881597).

72724464402496 is an frugal number, since it uses more digits than its factorization.

72724464402496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4620 (or 2306 counting only the distinct ones).

The product of its (nonzero) digits is 130056192, while the sum is 61.

The spelling of 72724464402496 in words is "seventy-two trillion, seven hundred twenty-four billion, four hundred sixty-four million, four hundred two thousand, four hundred ninety-six".