72152825127 has 24 divisors (see below), whose sum is σ = 103821220944. Its totient is φ = 44418077184.

The previous prime is 72152825113. The next prime is 72152825153.

It is a happy number.

72152825127 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 72152825127 - 2²³ = 72144436519 is a prime.

It is a super-2 number, since 2×72152825127² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72152825167) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 108568 + ... + 395085.

It is an arithmetic number, because the mean of its divisors is an integer number (4325884206).

Almost surely, 2^72152825127 is an apocalyptic number.

72152825127 is a deficient number, since it is larger than the sum of its proper divisors (31668395817).

72152825127 is a wasteful number, since it uses less digits than its factorization.

72152825127 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 503779 (or 503726 counting only the distinct ones).

The product of its digits is 156800, while the sum is 42.

The spelling of 72152825127 in words is "seventy-two billion, one hundred fifty-two million, eight hundred twenty-five thousand, one hundred twenty-seven".