72500527 has 8 divisors (see below), whose sum is σ = 79875792. Its totient is φ = 65256000.

The previous prime is 72500521. The next prime is 72500543.

72500527 is nontrivially palindromic in base 10.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 72500527 - 2²³ = 64111919 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 72500495 and 72500504.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72500521) 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, 31518 + ... + 33739.

It is an arithmetic number, because the mean of its divisors is an integer number (9984474).

Almost surely, 2^72500527 is an apocalyptic number.

72500527 is a deficient number, since it is larger than the sum of its proper divisors (7375265).

72500527 is a wasteful number, since it uses less digits than its factorization.

72500527 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 65369.

The product of its (nonzero) digits is 4900, while the sum is 28.

The square root of 72500527 is about 8514.7241294125. The cubic root of 72500527 is about 416.9785560995.

The spelling of 72500527 in words is "seventy-two million, five hundred thousand, five hundred twenty-seven".