7272800 has 36 divisors (see below), whose sum is σ = 17756676. Its totient is φ = 2908800.

The previous prime is 7272799. The next prime is 7272803. The reversal of 7272800 is 82727.

It is a hoax number, since the sum of its digits (26) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 7272800.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7272803) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 3746 + ... + 5345.

It is an arithmetic number, because the mean of its divisors is an integer number (493241).

Almost surely, 2^7272800 is an apocalyptic number.

It is an amenable number.

7272800 is an abundant number, since it is smaller than the sum of its proper divisors (10483876).

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

7272800 is a wasteful number, since it uses less digits than its factorization.

7272800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9111 (or 9098 counting only the distinct ones).

The product of its (nonzero) digits is 1568, while the sum is 26.

The square root of 7272800 is about 2696.8129338165. The cubic root of 7272800 is about 193.7465070477.

The spelling of 7272800 in words is "seven million, two hundred seventy-two thousand, eight hundred".