72133137 has 6 divisors (see below), whose sum is σ = 104192322. Its totient is φ = 48088752.

The previous prime is 72133123. The next prime is 72133147. The reversal of 72133137 is 73133127.

It can be written as a sum of positive squares in only one way, i.e., 54819216 + 17313921 = 7404^2 + 4161^2 .

It is not a de Polignac number, because 72133137 - 2⁶ = 72133073 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 72133137.

It is not an unprimeable number, because it can be changed into a prime (72133147) 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, 4007388 + ... + 4007405.

It is an arithmetic number, because the mean of its divisors is an integer number (17365387).

Almost surely, 2^72133137 is an apocalyptic number.

It is an amenable number.

72133137 is a deficient number, since it is larger than the sum of its proper divisors (32059185).

72133137 is a wasteful number, since it uses less digits than its factorization.

72133137 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8014799 (or 8014796 counting only the distinct ones).

The product of its digits is 2646, while the sum is 27.

The square root of 72133137 is about 8493.1229238720. The cubic root of 72133137 is about 416.2730290535.

The spelling of 72133137 in words is "seventy-two million, one hundred thirty-three thousand, one hundred thirty-seven".