72643968 has 48 divisors (see below), whose sum is σ = 209043900. Its totient is φ = 24214272.

The previous prime is 72643933. The next prime is 72643981. The reversal of 72643968 is 86934627.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 30378 + ... + 32681.

Almost surely, 2^72643968 is an apocalyptic number.

It is an amenable number.

72643968 is an abundant number, since it is smaller than the sum of its proper divisors (136399932).

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

72643968 is a wasteful number, since it uses less digits than its factorization.

72643968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 63079 (or 63064 counting only the distinct ones).

The product of its digits is 435456, while the sum is 45.

The square root of 72643968 is about 8523.1430822203. The cubic root of 72643968 is about 417.2533698206.

The spelling of 72643968 in words is "seventy-two million, six hundred forty-three thousand, nine hundred sixty-eight".