72877321764 has 81 divisors (see below), whose sum is σ = 199535962899. Its totient is φ = 22417312320.

The previous prime is 72877321729. The next prime is 72877321801. The reversal of 72877321764 is 46712377827.

The square root of 72877321764 is 269958.

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

It can be written as a sum of positive squares in 4 ways, for example, as 31339620900 + 41537700864 = 177030^2 + 203808^2 .

It is a super-2 number, since 2×72877321764² (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 72877321764.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 21054994 + ... + 21058454.

Almost surely, 2^72877321764 is an apocalyptic number.

72877321764 is the 269958-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 72877321764

72877321764 is an abundant number, since it is smaller than the sum of its proper divisors (126658641135).

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

72877321764 is a wasteful number, since it uses less digits than its factorization.

72877321764 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6958 (or 3479 counting only the distinct ones).

The product of its digits is 5531904, while the sum is 54.

The spelling of 72877321764 in words is "seventy-two billion, eight hundred seventy-seven million, three hundred twenty-one thousand, seven hundred sixty-four".