72652164 has 96 divisors (see below), whose sum is σ = 192694656. Its totient is φ = 21150720.

The previous prime is 72652157. The next prime is 72652171. The reversal of 72652164 is 46125627.

It is an interprime number because it is at equal distance from previous prime (72652157) and next prime (72652171).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 236499 + ... + 236805.

It is an arithmetic number, because the mean of its divisors is an integer number (2007236).

Almost surely, 2^72652164 is an apocalyptic number.

72652164 is a gapful number since it is divisible by the number (74) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 72652164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96347328).

72652164 is an abundant number, since it is smaller than the sum of its proper divisors (120042492).

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

72652164 is a wasteful number, since it uses less digits than its factorization.

72652164 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 405 (or 403 counting only the distinct ones).

The product of its digits is 20160, while the sum is 33.

The square root of 72652164 is about 8523.6238772015. The cubic root of 72652164 is about 417.2690613277.

The spelling of 72652164 in words is "seventy-two million, six hundred fifty-two thousand, one hundred sixty-four".