72055200 has 144 divisors (see below), whose sum is σ = 268107840. Its totient is φ = 16465920.

The previous prime is 72055187. The next prime is 72055211. The reversal of 72055200 is 255027.

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

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, 14656 + ... + 18944.

It is an arithmetic number, because the mean of its divisors is an integer number (1861860).

Almost surely, 2^72055200 is an apocalyptic number.

72055200 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 72055200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134053920).

72055200 is an abundant number, since it is smaller than the sum of its proper divisors (196052640).

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

72055200 is a wasteful number, since it uses less digits than its factorization.

72055200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4319 (or 4306 counting only the distinct ones).

The product of its (nonzero) digits is 700, while the sum is 21.

The square root of 72055200 is about 8488.5334422384. The cubic root of 72055200 is about 416.1230528479.

The spelling of 72055200 in words is "seventy-two million, fifty-five thousand, two hundred".