72001264 has 40 divisors (see below), whose sum is σ = 143683760. Its totient is φ = 34933248.

The previous prime is 72001261. The next prime is 72001271. The reversal of 72001264 is 46210027.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72001261) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 157324 + ... + 157780.

It is an arithmetic number, because the mean of its divisors is an integer number (3592094).

Almost surely, 2^72001264 is an apocalyptic number.

It is an amenable number.

72001264 is a deficient number, since it is larger than the sum of its proper divisors (71682496).

72001264 is a wasteful number, since it uses less digits than its factorization.

72001264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 737 (or 731 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 22.

The square root of 72001264 is about 8485.3558558260. The cubic root of 72001264 is about 416.0191990646.

It can be divided in two parts, 7200 and 1264, that added together give a square (8464 = 92²).

The spelling of 72001264 in words is "seventy-two million, one thousand, two hundred sixty-four".