72959616 has 160 divisors (see below), whose sum is σ = 225118080. Its totient is φ = 23431680.

The previous prime is 72959609. The next prime is 72959669. The reversal of 72959616 is 61695927.

It is a happy number.

72959616 is a `hidden beast` number, since 7 + 29 + 5 + 9 + 616 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 321295 + ... + 321521.

It is an arithmetic number, because the mean of its divisors is an integer number (1406988).

Almost surely, 2^72959616 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 72959616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112559040).

72959616 is an abundant number, since it is smaller than the sum of its proper divisors (152158464).

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

72959616 is a wasteful number, since it uses less digits than its factorization.

72959616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 284 (or 263 counting only the distinct ones).

The product of its digits is 204120, while the sum is 45.

The square root of 72959616 is about 8541.6401235360. The cubic root of 72959616 is about 417.8568376442.

The spelling of 72959616 in words is "seventy-two million, nine hundred fifty-nine thousand, six hundred sixteen".