72689952 has 48 divisors (see below), whose sum is σ = 195259680. Its totient is φ = 23665152.

The previous prime is 72689927. The next prime is 72689993. The reversal of 72689952 is 25998627.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (48).

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, 4677 + ... + 12932.

It is an arithmetic number, because the mean of its divisors is an integer number (4067910).

Almost surely, 2^72689952 is an apocalyptic number.

It is an amenable number.

72689952 is an abundant number, since it is smaller than the sum of its proper divisors (122569728).

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

72689952 is a wasteful number, since it uses less digits than its factorization.

72689952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17665 (or 17657 counting only the distinct ones).

The product of its digits is 544320, while the sum is 48.

The square root of 72689952 is about 8525.8402518461. The cubic root of 72689952 is about 417.3413924164.

The spelling of 72689952 in words is "seventy-two million, six hundred eighty-nine thousand, nine hundred fifty-two".