72257137 has 4 divisors (see below), whose sum is σ = 72324340. Its totient is φ = 72189936.

The previous prime is 72257093. The next prime is 72257149. The reversal of 72257137 is 73175227.

It is a happy number.

It is a semiprime because it is the product of two primes, and also an emirpimes, since its reverse is a distinct semiprime: 73175227 = 71 ⋅1030637.

It can be written as a sum of positive squares in 2 ways, for example, as 62869041 + 9388096 = 7929^2 + 3064^2 .

It is a cyclic number.

It is not a de Polignac number, because 72257137 - 2¹¹ = 72255089 is a prime.

It is a super-4 number, since 4×72257137⁴ (a number of 33 digits) contains 4444 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (72255137) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 31962 + ... + 34147.

It is an arithmetic number, because the mean of its divisors is an integer number (18081085).

Almost surely, 2^72257137 is an apocalyptic number.

It is an amenable number.

72257137 is a deficient number, since it is larger than the sum of its proper divisors (67203).

72257137 is a wasteful number, since it uses less digits than its factorization.

72257137 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67202.

The product of its digits is 20580, while the sum is 34.

The square root of 72257137 is about 8500.4198131622. The cubic root of 72257137 is about 416.5114229835.

The spelling of 72257137 in words is "seventy-two million, two hundred fifty-seven thousand, one hundred thirty-seven".