72476800 has 192 divisors, whose sum is σ = 204897600. Its totient is φ = 25088000.

The previous prime is 72476783. The next prime is 72476837. The reversal of 72476800 is 867427.

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, 1020765 + ... + 1020835.

It is an arithmetic number, because the mean of its divisors is an integer number (1067175).

Almost surely, 2^72476800 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 72476800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102448800).

72476800 is an abundant number, since it is smaller than the sum of its proper divisors (132420800).

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

72476800 is a wasteful number, since it uses less digits than its factorization.

72476800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 135 (or 118 counting only the distinct ones).

The product of its (nonzero) digits is 18816, while the sum is 34.

The square root of 72476800 is about 8513.3307230484. The cubic root of 72476800 is about 416.9330634201.

The spelling of 72476800 in words is "seventy-two million, four hundred seventy-six thousand, eight hundred".