72998016 has 128 divisors (see below), whose sum is σ = 238761600. Its totient is φ = 19243008.

The previous prime is 72997997. The next prime is 72998059. The reversal of 72998016 is 61089927.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (42).

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, 33900 + ... + 35988.

It is an arithmetic number, because the mean of its divisors is an integer number (1865325).

Almost surely, 2^72998016 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 72998016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119380800).

72998016 is an abundant number, since it is smaller than the sum of its proper divisors (165763584).

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

72998016 is a wasteful number, since it uses less digits than its factorization.

72998016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2126 (or 2114 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 42.

The square root of 72998016 is about 8543.8876397106. The cubic root of 72998016 is about 417.9301333897.

The spelling of 72998016 in words is "seventy-two million, nine hundred ninety-eight thousand, sixteen".