72402125 has 16 divisors (see below), whose sum is σ = 93478320. Its totient is φ = 55921600.

The previous prime is 72402107. The next prime is 72402131. The reversal of 72402125 is 52120427.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 26853124 + 45549001 = 5182^2 + 6749^2 .

It is not a de Polignac number, because 72402125 - 2¹⁰ = 72401101 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 72402125.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6362 + ... + 13611.

It is an arithmetic number, because the mean of its divisors is an integer number (5842395).

Almost surely, 2^72402125 is an apocalyptic number.

It is an amenable number.

72402125 is a deficient number, since it is larger than the sum of its proper divisors (21076195).

72402125 is a wasteful number, since it uses less digits than its factorization.

72402125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20017 (or 20007 counting only the distinct ones).

The product of its (nonzero) digits is 1120, while the sum is 23.

The square root of 72402125 is about 8508.9438240007. The cubic root of 72402125 is about 416.7898213732.

It can be divided in two parts, 72402 and 125, that added together give a palindrome (72527).

The spelling of 72402125 in words is "seventy-two million, four hundred two thousand, one hundred twenty-five".