72137238 has 16 divisors (see below), whose sum is σ = 144601200. Its totient is φ = 23991296.

The previous prime is 72137237. The next prime is 72137257. The reversal of 72137238 is 83273127.

It is a super-2 number, since 2×72137238² = 10407562212537288, which contains 22 as substring.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 72137199 and 72137208.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72137231) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10695 + ... + 16082.

It is an arithmetic number, because the mean of its divisors is an integer number (9037575).

Almost surely, 2^72137238 is an apocalyptic number.

72137238 is an abundant number, since it is smaller than the sum of its proper divisors (72463962).

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

72137238 is a wasteful number, since it uses less digits than its factorization.

72137238 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27231.

The product of its digits is 14112, while the sum is 33.

The square root of 72137238 is about 8493.3643510684. The cubic root of 72137238 is about 416.2809177226.

The spelling of 72137238 in words is "seventy-two million, one hundred thirty-seven thousand, two hundred thirty-eight".