72827995380624 has 405 divisors, whose sum is σ = 238046568987409. Its totient is φ = 20765446056960.

The previous prime is 72827995380587. The next prime is 72827995380643. The reversal of 72827995380624 is 42608359972827.

The square root of 72827995380624 is 8533932.

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

72827995380624 is a `hidden beast` number, since 7 + 2 + 8 + 27 + 9 + 9 + 538 + 0 + 62 + 4 = 666.

72827995380624 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 56699996403600 + 16127998977024 = 7529940^2 + 4015968^2 .

It is a super-2 number, since 2×72827995380624² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 19150141507 + ... + 19150145309.

Almost surely, 2^{72827995380624} is an apocalyptic number.

72827995380624 is the 8533932-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 72827995380624

72827995380624 is an abundant number, since it is smaller than the sum of its proper divisors (165218573606785).

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

72827995380624 is a wasteful number, since it uses less digits than its factorization.

72827995380624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7676 (or 3836 counting only the distinct ones).

The product of its (nonzero) digits is 731566080, while the sum is 72.

The spelling of 72827995380624 in words is "seventy-two trillion, eight hundred twenty-seven billion, nine hundred ninety-five million, three hundred eighty thousand, six hundred twenty-four".