72737133 has 32 divisors (see below), whose sum is σ = 116121600. Its totient is φ = 39619776.

The previous prime is 72737113. The next prime is 72737183. The reversal of 72737133 is 33173727.

It is not a de Polignac number, because 72737133 - 2⁸ = 72736877 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 72737094 and 72737103.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72737113) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 49828 + ... + 51266.

It is an arithmetic number, because the mean of its divisors is an integer number (3628800).

Almost surely, 2^72737133 is an apocalyptic number.

It is an amenable number.

72737133 is a deficient number, since it is larger than the sum of its proper divisors (43384467).

72737133 is a wasteful number, since it uses less digits than its factorization.

72737133 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1561.

The product of its digits is 18522, while the sum is 33.

The square root of 72737133 is about 8528.6067443633. The cubic root of 72737133 is about 417.4316677343.

The spelling of 72737133 in words is "seventy-two million, seven hundred thirty-seven thousand, one hundred thirty-three".