72258200 has 48 divisors (see below), whose sum is σ = 192004080. Its totient is φ = 24773760.

The previous prime is 72258187. The next prime is 72258209. The reversal of 72258200 is 285227.

It is a self number, because there is not a number n which added to its sum of digits gives 72258200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72258209) 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, 24407 + ... + 27206.

It is an arithmetic number, because the mean of its divisors is an integer number (4000085).

Almost surely, 2^72258200 is an apocalyptic number.

72258200 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

72258200 is an abundant number, since it is smaller than the sum of its proper divisors (119745880).

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

72258200 is a wasteful number, since it uses less digits than its factorization.

72258200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51636 (or 51627 counting only the distinct ones).

The product of its (nonzero) digits is 2240, while the sum is 26.

The square root of 72258200 is about 8500.4823392558. The cubic root of 72258200 is about 416.5134654552.

The spelling of 72258200 in words is "seventy-two million, two hundred fifty-eight thousand, two hundred".