72267648 has 32 divisors (see below), whose sum is σ = 191961960. Its totient is φ = 24089088.

The previous prime is 72267641. The next prime is 72267667. The reversal of 72267648 is 84676227.

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

It is a super-2 number, since 2×72267648² = 10445225894903808, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72267641) 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, 93715 + ... + 94482.

Almost surely, 2^72267648 is an apocalyptic number.

It is an amenable number.

72267648 is an abundant number, since it is smaller than the sum of its proper divisors (119694312).

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

72267648 is a wasteful number, since it uses less digits than its factorization.

72267648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 188214 (or 188202 counting only the distinct ones).

The product of its digits is 225792, while the sum is 42.

The square root of 72267648 is about 8501.0380542614. The cubic root of 72267648 is about 416.5316181711.

The spelling of 72267648 in words is "seventy-two million, two hundred sixty-seven thousand, six hundred forty-eight".