72231264 has 144 divisors (see below), whose sum is σ = 243629568. Its totient is φ = 20621952.

The previous prime is 72231253. The next prime is 72231277. The reversal of 72231264 is 46213227.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 53769 + ... + 55095.

It is an arithmetic number, because the mean of its divisors is an integer number (1691872).

Almost surely, 2^72231264 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 72231264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121814784).

72231264 is an abundant number, since it is smaller than the sum of its proper divisors (171398304).

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

72231264 is a wasteful number, since it uses less digits than its factorization.

72231264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1359 (or 1339 counting only the distinct ones).

The product of its digits is 4032, while the sum is 27.

The square root of 72231264 is about 8498.8978108929. The cubic root of 72231264 is about 416.4617038509.

The spelling of 72231264 in words is "seventy-two million, two hundred thirty-one thousand, two hundred sixty-four".