72977616 has 60 divisors (see below), whose sum is σ = 209771172. Its totient is φ = 23666688.

The previous prime is 72977609. The next prime is 72977621. The reversal of 72977616 is 61677927.

72977616 is a `hidden beast` number, since 7 + 29 + 7 + 7 + 616 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 30206016 + 42771600 = 5496^2 + 6540^2 .

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 11 ways as a sum of consecutive naturals, for example, 1521 + ... + 12176.

Almost surely, 2^72977616 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 72977616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104885586).

72977616 is an abundant number, since it is smaller than the sum of its proper divisors (136793556).

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

72977616 is a wasteful number, since it uses less digits than its factorization.

72977616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13748 (or 13739 counting only the distinct ones).

The product of its digits is 222264, while the sum is 45.

The square root of 72977616 is about 8542.6937203671. The cubic root of 72977616 is about 417.8911982263.

The spelling of 72977616 in words is "seventy-two million, nine hundred seventy-seven thousand, six hundred sixteen".