72116124 has 12 divisors (see below), whose sum is σ = 168270984. Its totient is φ = 24038704.

The previous prime is 72116123. The next prime is 72116129. The reversal of 72116124 is 42161127.

It is a tau number, because it is divible by the number of its divisors (12).

It is a junction number, because it is equal to n+sod(n) for n = 72116094 and 72116103.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72116123) 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 3 ways as a sum of consecutive naturals, for example, 3004827 + ... + 3004850.

It is an arithmetic number, because the mean of its divisors is an integer number (14022582).

Almost surely, 2^72116124 is an apocalyptic number.

It is an amenable number.

72116124 is an abundant number, since it is smaller than the sum of its proper divisors (96154860).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

72116124 is a wasteful number, since it uses less digits than its factorization.

72116124 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6009684 (or 6009682 counting only the distinct ones).

The product of its digits is 672, while the sum is 24.

The square root of 72116124 is about 8492.1212897603. The cubic root of 72116124 is about 416.2402997135.

The spelling of 72116124 in words is "seventy-two million, one hundred sixteen thousand, one hundred twenty-four".