72231600 has 120 divisors (see below), whose sum is σ = 264467200. Its totient is φ = 16508160.

The previous prime is 72231587. The next prime is 72231619. The reversal of 72231600 is 613227.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (21).

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 23 ways as a sum of consecutive naturals, for example, 4101 + ... + 12699.

Almost surely, 2^72231600 is an apocalyptic number.

72231600 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 72231600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132233600).

72231600 is an abundant number, since it is smaller than the sum of its proper divisors (192235600).

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

72231600 is a wasteful number, since it uses less digits than its factorization.

72231600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8627 (or 8616 counting only the distinct ones).

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

The square root of 72231600 is about 8498.9175781390. The cubic root of 72231600 is about 416.4623496050.

Adding to 72231600 its reverse (613227), we get a palindrome (72844827).

The spelling of 72231600 in words is "seventy-two million, two hundred thirty-one thousand, six hundred".