72207576 has 144 divisors (see below), whose sum is σ = 230925240. Its totient is φ = 20321280.

The previous prime is 72207547. The next prime is 72207589. The reversal of 72207576 is 67570227.

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 72207576.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 342111 + ... + 342321.

Almost surely, 2^72207576 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 72207576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115462620).

72207576 is an abundant number, since it is smaller than the sum of its proper divisors (158717664).

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

72207576 is a wasteful number, since it uses less digits than its factorization.

72207576 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 334 (or 320 counting only the distinct ones).

The product of its (nonzero) digits is 41160, while the sum is 36.

The square root of 72207576 is about 8497.5041041473. The cubic root of 72207576 is about 416.4161731351.

The spelling of 72207576 in words is "seventy-two million, two hundred seven thousand, five hundred seventy-six".