7272652800 has 672 divisors, whose sum is σ = 29253484800. Its totient is φ = 1557135360.

The previous prime is 7272652787. The next prime is 7272652811. The reversal of 7272652800 is 82562727.

It is a tau number, because it is divible by the number of its divisors (672).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 81715156 + ... + 81715244.

Almost surely, 2^7272652800 is an apocalyptic number.

7272652800 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 7272652800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14626742400).

7272652800 is an abundant number, since it is smaller than the sum of its proper divisors (21980832000).

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

7272652800 is a wasteful number, since it uses less digits than its factorization.

7272652800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 154 (or 125 counting only the distinct ones).

The product of its (nonzero) digits is 94080, while the sum is 39.

The square root of 7272652800 is about 85279.8499060593. The cubic root of 7272652800 is about 1937.4519990883.

The spelling of 7272652800 in words is "seven billion, two hundred seventy-two million, six hundred fifty-two thousand, eight hundred".