72613600 has 72 divisors (see below), whose sum is σ = 178816680. Its totient is φ = 28792320.

The previous prime is 72613577. The next prime is 72613603. The reversal of 72613600 is 631627.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72613603) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 110874 + ... + 111526.

It is an arithmetic number, because the mean of its divisors is an integer number (2483565).

Almost surely, 2^72613600 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 72613600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89408340).

72613600 is an abundant number, since it is smaller than the sum of its proper divisors (106203080).

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

72613600 is a wasteful number, since it uses less digits than its factorization.

72613600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 812 (or 799 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 25.

The square root of 72613600 is about 8521.3613935803. The cubic root of 72613600 is about 417.1952190121.

The spelling of 72613600 in words is "seventy-two million, six hundred thirteen thousand, six hundred".