72525252527 has 32 divisors (see below), whose sum is σ = 93338542080. Its totient is φ = 54772375680.

The previous prime is 72525252517. The next prime is 72525252581.

72525252527 is nontrivially palindromic in base 10.

It is a cyclic number.

It is not a de Polignac number, because 72525252527 - 2⁸ = 72525252271 is a prime.

It is an alternating number because its digits alternate between odd and even.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72525252517) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 966377 + ... + 1038717.

It is an arithmetic number, because the mean of its divisors is an integer number (2916829440).

Almost surely, 2^72525252527 is an apocalyptic number.

72525252527 is a deficient number, since it is larger than the sum of its proper divisors (20813289553).

72525252527 is a wasteful number, since it uses less digits than its factorization.

72525252527 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72863.

The product of its digits is 980000, while the sum is 44.

The spelling of 72525252527 in words is "seventy-two billion, five hundred twenty-five million, two hundred fifty-two thousand, five hundred twenty-seven".