72133096 has 24 divisors (see below), whose sum is σ = 157331970. Its totient is φ = 30914016.

The previous prime is 72133073. The next prime is 72133097. The reversal of 72133096 is 69033127.

It can be written as a sum of positive squares in only one way, i.e., 48804196 + 23328900 = 6986^2 + 4830^2 .

It is not an unprimeable number, because it can be changed into a prime (72133097) 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, 91615 + ... + 92398.

Almost surely, 2^72133096 is an apocalyptic number.

It is an amenable number.

72133096 is an abundant number, since it is smaller than the sum of its proper divisors (85198874).

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

72133096 is a wasteful number, since it uses less digits than its factorization.

72133096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 184033 (or 184022 counting only the distinct ones).

The product of its (nonzero) digits is 6804, while the sum is 31.

The square root of 72133096 is about 8493.1205101541. The cubic root of 72133096 is about 416.2729501846.

Adding to 72133096 its sum of digits (31), we get a palindrome (72133127).

The spelling of 72133096 in words is "seventy-two million, one hundred thirty-three thousand, ninety-six".