72756129 has 12 divisors (see below), whose sum is σ = 99396528. Its totient is φ = 47313000.

The previous prime is 72756127. The next prime is 72756137. The reversal of 72756129 is 92165727.

It is not a de Polignac number, because 72756129 - 2¹ = 72756127 is a prime.

It is not an unprimeable number, because it can be changed into a prime (72756127) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 96504 + ... + 97254.

It is an arithmetic number, because the mean of its divisors is an integer number (8283044).

Almost surely, 2^72756129 is an apocalyptic number.

It is an amenable number.

72756129 is a deficient number, since it is larger than the sum of its proper divisors (26640399).

72756129 is an frugal number, since it uses more digits than its factorization.

72756129 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1548 (or 797 counting only the distinct ones).

The product of its digits is 52920, while the sum is 39.

The square root of 72756129 is about 8529.7203353920. The cubic root of 72756129 is about 417.4680033327.

The spelling of 72756129 in words is "seventy-two million, seven hundred fifty-six thousand, one hundred twenty-nine".