72568200 has 48 divisors (see below), whose sum is σ = 224963280. Its totient is φ = 19351360.

The previous prime is 72568187. The next prime is 72568207. The reversal of 72568200 is 286527.

It is a super-2 number, since 2×72568200² = 10532287302480000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (72568207) by changing a digit.

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, 59874 + ... + 61073.

It is an arithmetic number, because the mean of its divisors is an integer number (4686735).

Almost surely, 2^72568200 is an apocalyptic number.

It is an amenable number.

72568200 is an abundant number, since it is smaller than the sum of its proper divisors (152395080).

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

72568200 is a wasteful number, since it uses less digits than its factorization.

72568200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 120966 (or 120957 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 30.

The square root of 72568200 is about 8518.6970834747. The cubic root of 72568200 is about 417.1082536148.

The spelling of 72568200 in words is "seventy-two million, five hundred sixty-eight thousand, two hundred".