72610516 has 24 divisors (see below), whose sum is σ = 140001120. Its totient is φ = 32676000.

The previous prime is 72610511. The next prime is 72610529. The reversal of 72610516 is 61501627.

It is a hoax number, since the sum of its digits (28) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72610511) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3726 + ... + 12613.

It is an arithmetic number, because the mean of its divisors is an integer number (5833380).

Almost surely, 2^72610516 is an apocalyptic number.

It is an amenable number.

72610516 is a deficient number, since it is larger than the sum of its proper divisors (67390604).

72610516 is a wasteful number, since it uses less digits than its factorization.

72610516 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16455 (or 16453 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 28.

The square root of 72610516 is about 8521.1804346581. The cubic root of 72610516 is about 417.1893126425.

Subtracting from 72610516 its reverse (61501627), we obtain a square (11108889 = 3333²).

The spelling of 72610516 in words is "seventy-two million, six hundred ten thousand, five hundred sixteen".