72910800 has 240 divisors, whose sum is σ = 267234880. Its totient is φ = 18869760.

The previous prime is 72910793. The next prime is 72910819. The reversal of 72910800 is 801927.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 464322 + ... + 464478.

Almost surely, 2^72910800 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 72910800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133617440).

72910800 is an abundant number, since it is smaller than the sum of its proper divisors (194324080).

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

72910800 is a wasteful number, since it uses less digits than its factorization.

72910800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 227 (or 210 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 27.

The square root of 72910800 is about 8538.7821145641. The cubic root of 72910800 is about 417.7636232902.

The spelling of 72910800 in words is "seventy-two million, nine hundred ten thousand, eight hundred".