72577137 has 16 divisors (see below), whose sum is σ = 98122752. Its totient is φ = 47712720.

The previous prime is 72577117. The next prime is 72577157. The reversal of 72577137 is 73177527.

It is an interprime number because it is at equal distance from previous prime (72577117) and next prime (72577157).

It is not a de Polignac number, because 72577137 - 2⁶ = 72577073 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 72577095 and 72577104.

It is not an unprimeable number, because it can be changed into a prime (72577117) 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, 99468 + ... + 100194.

It is an arithmetic number, because the mean of its divisors is an integer number (6132672).

Almost surely, 2^72577137 is an apocalyptic number.

It is an amenable number.

72577137 is a deficient number, since it is larger than the sum of its proper divisors (25545615).

72577137 is a wasteful number, since it uses less digits than its factorization.

72577137 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1148.

The product of its digits is 72030, while the sum is 39.

The square root of 72577137 is about 8519.2216193735. The cubic root of 72577137 is about 417.1253756391.

The spelling of 72577137 in words is "seventy-two million, five hundred seventy-seven thousand, one hundred thirty-seven".