72311328 has 36 divisors (see below), whose sum is σ = 205636158. Its totient is φ = 24103680.

The previous prime is 72311273. The next prime is 72311329. The reversal of 72311328 is 82311327.

It can be written as a sum of positive squares in only one way, i.e., 50296464 + 22014864 = 7092^2 + 4692^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is not an unprimeable number, because it can be changed into a prime (72311329) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 125253 + ... + 125828.

Almost surely, 2^72311328 is an apocalyptic number.

It is an amenable number.

72311328 is an abundant number, since it is smaller than the sum of its proper divisors (133324830).

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

72311328 is a wasteful number, since it uses less digits than its factorization.

72311328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 251097 (or 251086 counting only the distinct ones).

The product of its digits is 2016, while the sum is 27.

The square root of 72311328 is about 8503.6067641913. The cubic root of 72311328 is about 416.6155212600.

Subtracting 72311328 from its reverse (82311327), we obtain a palindrome (9999999).

The spelling of 72311328 in words is "seventy-two million, three hundred eleven thousand, three hundred twenty-eight".