72321700 has 108 divisors (see below), whose sum is σ = 177783760. Its totient is φ = 25502400.

The previous prime is 72321671. The next prime is 72321701. The reversal of 72321700 is 712327.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is not an unprimeable number, because it can be changed into a prime (72321701) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 520231 + ... + 520369.

Almost surely, 2^72321700 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 72321700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88891880).

72321700 is an abundant number, since it is smaller than the sum of its proper divisors (105462060).

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

72321700 is a wasteful number, since it uses less digits than its factorization.

72321700 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 218 (or 200 counting only the distinct ones).

The product of its (nonzero) digits is 588, while the sum is 22.

The square root of 72321700 is about 8504.2166011926. The cubic root of 72321700 is about 416.6354394375.

The spelling of 72321700 in words is "seventy-two million, three hundred twenty-one thousand, seven hundred".