72577125 has 24 divisors (see below), whose sum is σ = 130834392. Its totient is φ = 38707200.

The previous prime is 72577117. The next prime is 72577157. The reversal of 72577125 is 52177527.

72577125 is a `hidden beast` number, since 72 + 577 + 12 + 5 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 9326916 + 63250209 = 3054^2 + 7953^2 .

It is not a de Polignac number, because 72577125 - 2³ = 72577117 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 72577125.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 31132 + ... + 33381.

It is an arithmetic number, because the mean of its divisors is an integer number (5451433).

Almost surely, 2^72577125 is an apocalyptic number.

72577125 is a gapful number since it is divisible by the number (75) formed by its first and last digit.

It is an amenable number.

72577125 is a deficient number, since it is larger than the sum of its proper divisors (58257267).

72577125 is a wasteful number, since it uses less digits than its factorization.

72577125 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 64534 (or 64521 counting only the distinct ones).

The product of its digits is 34300, while the sum is 36.

The square root of 72577125 is about 8519.2209150837. The cubic root of 72577125 is about 417.1253526497.

The spelling of 72577125 in words is "seventy-two million, five hundred seventy-seven thousand, one hundred twenty-five".