72164136 has 32 divisors (see below), whose sum is σ = 196812000. Its totient is φ = 21867840.

The previous prime is 72164123. The next prime is 72164149. The reversal of 72164136 is 63146127.

It is an interprime number because it is at equal distance from previous prime (72164123) and next prime (72164149).

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, 136411 + ... + 136938.

It is an arithmetic number, because the mean of its divisors is an integer number (6150375).

Almost surely, 2^72164136 is an apocalyptic number.

It is an amenable number.

72164136 is an abundant number, since it is smaller than the sum of its proper divisors (124647864).

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

72164136 is a wasteful number, since it uses less digits than its factorization.

72164136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 273369 (or 273365 counting only the distinct ones).

The product of its digits is 6048, while the sum is 30.

The square root of 72164136 is about 8494.9476749419. The cubic root of 72164136 is about 416.3326512101.

Subtracting from 72164136 its reverse (63146127), we obtain a square (9018009 = 3003²).

The spelling of 72164136 in words is "seventy-two million, one hundred sixty-four thousand, one hundred thirty-six".