71952364 has 96 divisors (see below), whose sum is σ = 156764160. Its totient is φ = 28492800.

The previous prime is 71952359. The next prime is 71952371. The reversal of 71952364 is 46325917.

It is a Smith number, since the sum of its digits (37) coincides with the sum of the digits of its prime factors.

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, 672399 + ... + 672505.

It is an arithmetic number, because the mean of its divisors is an integer number (1632960).

Almost surely, 2^71952364 is an apocalyptic number.

It is an amenable number.

71952364 is an abundant number, since it is smaller than the sum of its proper divisors (84811796).

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

71952364 is a wasteful number, since it uses less digits than its factorization.

71952364 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 199 (or 197 counting only the distinct ones).

The product of its digits is 45360, while the sum is 37.

The square root of 71952364 is about 8482.4739315839. The cubic root of 71952364 is about 415.9249972647.

It can be divided in two parts, 7195 and 2364, that added together give a palindrome (9559).

The spelling of 71952364 in words is "seventy-one million, nine hundred fifty-two thousand, three hundred sixty-four".