72591638 has 36 divisors (see below), whose sum is σ = 129347820. Its totient is φ = 30463776.

The previous prime is 72591593. The next prime is 72591643. The reversal of 72591638 is 83619527.

It is a junction number, because it is equal to n+sod(n) for n = 72591595 and 72591604.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 522173 + ... + 522311.

It is an arithmetic number, because the mean of its divisors is an integer number (3592995).

Almost surely, 2^72591638 is an apocalyptic number.

72591638 is a deficient number, since it is larger than the sum of its proper divisors (56756182).

72591638 is a wasteful number, since it uses less digits than its factorization.

72591638 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 301 (or 221 counting only the distinct ones).

The product of its digits is 90720, while the sum is 41.

The square root of 72591638 is about 8520.0726522724. The cubic root of 72591638 is about 417.1531545077.

The spelling of 72591638 in words is "seventy-two million, five hundred ninety-one thousand, six hundred thirty-eight".