72213600 has 72 divisors (see below), whose sum is σ = 235063080. Its totient is φ = 19256320.

The previous prime is 72213599. The next prime is 72213649. The reversal of 72213600 is 631227.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 12645 + ... + 17444.

It is an arithmetic number, because the mean of its divisors is an integer number (3264765).

Almost surely, 2^72213600 is an apocalyptic number.

It is an amenable number.

72213600 is an abundant number, since it is smaller than the sum of its proper divisors (162849480).

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

72213600 is a wasteful number, since it uses less digits than its factorization.

72213600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30112 (or 30099 counting only the distinct ones).

The product of its (nonzero) digits is 504, while the sum is 21.

The square root of 72213600 is about 8497.8585537769. The cubic root of 72213600 is about 416.4277528124.

Adding to 72213600 its reverse (631227), we get a palindrome (72844827).

The spelling of 72213600 in words is "seventy-two million, two hundred thirteen thousand, six hundred".