72219300 has 72 divisors (see below), whose sum is σ = 212132256. Its totient is φ = 18965760.

The previous prime is 72219271. The next prime is 72219311. The reversal of 72219300 is 391227.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 18304 + ... + 21896.

Almost surely, 2^72219300 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 72219300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106066128).

72219300 is an abundant number, since it is smaller than the sum of its proper divisors (139912956).

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

72219300 is a wasteful number, since it uses less digits than its factorization.

72219300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3677 (or 3670 counting only the distinct ones).

The product of its (nonzero) digits is 756, while the sum is 24.

The square root of 72219300 is about 8498.1939257703. The cubic root of 72219300 is about 416.4387090853.

The spelling of 72219300 in words is "seventy-two million, two hundred nineteen thousand, three hundred".