72489100644 has 81 divisors (see below), whose sum is σ = 191647748019. Its totient is φ = 23100620400.

The previous prime is 72489100633. The next prime is 72489100681. The reversal of 72489100644 is 44600198427.

The square root of 72489100644 is 269238.

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

72489100644 is a `hidden beast` number, since 7 + 2 + 489 + 100 + 64 + 4 = 666.

It is a super-2 number, since 2×72489100644² (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 72489100644.

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, 37153869 + ... + 37155819.

Almost surely, 2^72489100644 is an apocalyptic number.

72489100644 is the 269238-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 72489100644

72489100644 is an abundant number, since it is smaller than the sum of its proper divisors (119158647375).

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

72489100644 is a wasteful number, since it uses less digits than its factorization.

72489100644 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3958 (or 1979 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The spelling of 72489100644 in words is "seventy-two billion, four hundred eighty-nine million, one hundred thousand, six hundred forty-four".