72547968 has 32 divisors (see below), whose sum is σ = 192706560. Its totient is φ = 24182528.

The previous prime is 72547961. The next prime is 72547987. The reversal of 72547968 is 86974527.

It is a tau number, because it is divible by the number of its divisors (32).

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

It is not an unprimeable number, because it can be changed into a prime (72547961) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 94080 + ... + 94847.

It is an arithmetic number, because the mean of its divisors is an integer number (6022080).

Almost surely, 2^72547968 is an apocalyptic number.

It is an amenable number.

72547968 is an abundant number, since it is smaller than the sum of its proper divisors (120158592).

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

72547968 is a wasteful number, since it uses less digits than its factorization.

72547968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 188944 (or 188932 counting only the distinct ones).

The product of its digits is 846720, while the sum is 48.

The square root of 72547968 is about 8517.5094951517. The cubic root of 72547968 is about 417.0694867786.

The spelling of 72547968 in words is "seventy-two million, five hundred forty-seven thousand, nine hundred sixty-eight".