72638960 has 40 divisors (see below), whose sum is σ = 178823376. Its totient is φ = 27345920.

The previous prime is 72638959. The next prime is 72638981. The reversal of 72638960 is 6983627.

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 25346 + ... + 28065.

Almost surely, 2^72638960 is an apocalyptic number.

It is an amenable number.

72638960 is an abundant number, since it is smaller than the sum of its proper divisors (106184416).

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

72638960 is a wasteful number, since it uses less digits than its factorization.

72638960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53441 (or 53435 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 41.

The square root of 72638960 is about 8522.8492888235. The cubic root of 72638960 is about 417.2437812617.

The spelling of 72638960 in words is "seventy-two million, six hundred thirty-eight thousand, nine hundred sixty".