72653538 has 16 divisors (see below), whose sum is σ = 145440576. Its totient is φ = 24195600.

The previous prime is 72653521. The next prime is 72653561. The reversal of 72653538 is 83535627.

It is a junction number, because it is equal to n+sod(n) for n = 72653496 and 72653505.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2388 + ... + 12288.

It is an arithmetic number, because the mean of its divisors is an integer number (9090036).

Almost surely, 2^72653538 is an apocalyptic number.

72653538 is an abundant number, since it is smaller than the sum of its proper divisors (72787038).

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

72653538 is a wasteful number, since it uses less digits than its factorization.

72653538 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11129.

The product of its digits is 151200, while the sum is 39.

The square root of 72653538 is about 8523.7044763413. The cubic root of 72653538 is about 417.2716917796.

The spelling of 72653538 in words is "seventy-two million, six hundred fifty-three thousand, five hundred thirty-eight".