72950016 has 108 divisors (see below), whose sum is σ = 202985552. Its totient is φ = 23245824.

The previous prime is 72949999. The next prime is 72950021. The reversal of 72950016 is 61005927.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1552105 + ... + 1552151.

Almost surely, 2^72950016 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 72950016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101492776).

72950016 is an abundant number, since it is smaller than the sum of its proper divisors (130035536).

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

72950016 is an equidigital number, since it uses as much as digits as its factorization.

72950016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 156 (or 95 counting only the distinct ones).

The product of its (nonzero) digits is 3780, while the sum is 30.

The square root of 72950016 is about 8541.0781520836. The cubic root of 72950016 is about 417.8385096896.

The spelling of 72950016 in words is "seventy-two million, nine hundred fifty thousand, sixteen".