72285312 has 128 divisors (see below), whose sum is σ = 212731200. Its totient is φ = 21565440.

The previous prime is 72285307. The next prime is 72285319. The reversal of 72285312 is 21358227.

It is a tau number, because it is divible by the number of its divisors (128).

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 72285312.

It is not an unprimeable number, because it can be changed into a prime (72285319) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 460338 + ... + 460494.

Almost surely, 2^72285312 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 72285312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106365600).

72285312 is an abundant number, since it is smaller than the sum of its proper divisors (140445888).

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

72285312 is a wasteful number, since it uses less digits than its factorization.

72285312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 294 (or 282 counting only the distinct ones).

The product of its digits is 6720, while the sum is 30.

The square root of 72285312 is about 8502.0769227289. The cubic root of 72285312 is about 416.5655522819.

The spelling of 72285312 in words is "seventy-two million, two hundred eighty-five thousand, three hundred twelve".