72207616 has 54 divisors (see below), whose sum is σ = 156166710. Its totient is φ = 33306624.

The previous prime is 72207613. The next prime is 72207637. The reversal of 72207616 is 61670227.

It can be written as a sum of positive squares in 3 ways, for example, as 25600 + 72182016 = 160^2 + 8496^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72207613) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 42430 + ... + 44098.

Almost surely, 2^72207616 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 72207616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78083355).

72207616 is an abundant number, since it is smaller than the sum of its proper divisors (83959094).

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

72207616 is a wasteful number, since it uses less digits than its factorization.

72207616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1711 (or 1684 counting only the distinct ones).

The product of its (nonzero) digits is 7056, while the sum is 31.

The square root of 72207616 is about 8497.5064577792. The cubic root of 72207616 is about 416.4162500275.

The spelling of 72207616 in words is "seventy-two million, two hundred seven thousand, six hundred sixteen".