72515170861056 has 1575 divisors, whose sum is σ = 278033122562223. Its totient is φ = 18835109314560.

The previous prime is 72515170861009. The next prime is 72515170861127. The reversal of 72515170861056 is 65016807151527.

The square root of 72515170861056 is 8515584.

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

72515170861056 is a `hidden beast` number, since 7 + 2 + 5 + 1 + 5 + 17 + 0 + 8 + 610 + 5 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 72515170860993 and 72515170861011.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 62 ways as a sum of consecutive naturals, for example, 6592288260091 + ... + 6592288260101.

Almost surely, 2^{72515170861056} is an apocalyptic number.

72515170861056 is the 8515584-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 72515170861056

72515170861056 is an abundant number, since it is smaller than the sum of its proper divisors (205517951701167).

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

72515170861056 is an frugal number, since it uses more digits than its factorization.

72515170861056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102 (or 23 counting only the distinct ones).

The product of its (nonzero) digits is 3528000, while the sum is 54.

The spelling of 72515170861056 in words is "seventy-two trillion, five hundred fifteen billion, one hundred seventy million, eight hundred sixty-one thousand, fifty-six".