72706137 has 16 divisors (see below), whose sum is σ = 111068160. Its totient is φ = 41442192.

The previous prime is 72706111. The next prime is 72706157. The reversal of 72706137 is 73160727.

It is not a de Polignac number, because 72706137 - 2¹⁴ = 72689753 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 72706098 and 72706107.

It is not an unprimeable number, because it can be changed into a prime (72706157) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4668 + ... + 12930.

It is an arithmetic number, because the mean of its divisors is an integer number (6941760).

Almost surely, 2^72706137 is an apocalyptic number.

It is an amenable number.

72706137 is a deficient number, since it is larger than the sum of its proper divisors (38362023).

72706137 is a wasteful number, since it uses less digits than its factorization.

72706137 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8692.

The product of its (nonzero) digits is 12348, while the sum is 33.

The square root of 72706137 is about 8526.7893723253. The cubic root of 72706137 is about 417.3723649189.

The spelling of 72706137 in words is "seventy-two million, seven hundred six thousand, one hundred thirty-seven".