72216576 has 104 divisors (see below), whose sum is σ = 214276560. Its totient is φ = 24035328.

The previous prime is 72216541. The next prime is 72216631. The reversal of 72216576 is 67561227.

72216576 is a `hidden beast` number, since 72 + 2 + 16 + 576 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 72216576.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 110266 + ... + 110918.

Almost surely, 2^72216576 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 72216576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107138280).

72216576 is an abundant number, since it is smaller than the sum of its proper divisors (142059984).

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

72216576 is an equidigital number, since it uses as much as digits as its factorization.

72216576 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 686 (or 658 counting only the distinct ones).

The product of its digits is 35280, while the sum is 36.

The square root of 72216576 is about 8498.0336549110. The cubic root of 72216576 is about 416.4334732121.

The spelling of 72216576 in words is "seventy-two million, two hundred sixteen thousand, five hundred seventy-six".