72498129 has 32 divisors (see below), whose sum is σ = 113625600. Its totient is φ = 40642560.

The previous prime is 72498109. The next prime is 72498131. The reversal of 72498129 is 92189427.

It is not a de Polignac number, because 72498129 - 2¹² = 72494033 is a prime.

It is not an unprimeable number, because it can be changed into a prime (72498109) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 25617 + ... + 28305.

It is an arithmetic number, because the mean of its divisors is an integer number (3550800).

Almost surely, 2^72498129 is an apocalyptic number.

It is an amenable number.

72498129 is a deficient number, since it is larger than the sum of its proper divisors (41127471).

72498129 is a wasteful number, since it uses less digits than its factorization.

72498129 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2765.

The product of its digits is 72576, while the sum is 42.

The square root of 72498129 is about 8514.5833133513. The cubic root of 72498129 is about 416.9739587738.

It can be divided in two parts, 72498 and 129, that added together give a palindrome (72627).

The spelling of 72498129 in words is "seventy-two million, four hundred ninety-eight thousand, one hundred twenty-nine".