72650016 has 72 divisors (see below), whose sum is σ = 208107900. Its totient is φ = 24039936.

The previous prime is 72650003. The next prime is 72650041. The reversal of 72650016 is 61005627.

72650016 is a `hidden beast` number, since 7 + 2 + 650 + 0 + 1 + 6 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 67174416 + 5475600 = 8196^2 + 2340^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 42066 + ... + 43758.

Almost surely, 2^72650016 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 72650016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104053950).

72650016 is an abundant number, since it is smaller than the sum of its proper divisors (135457884).

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

72650016 is a wasteful number, since it uses less digits than its factorization.

72650016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1858 (or 1847 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 27.

The square root of 72650016 is about 8523.4978735259. The cubic root of 72650016 is about 417.2649490263.

The spelling of 72650016 in words is "seventy-two million, six hundred fifty thousand, sixteen".