72792000 has 224 divisors, whose sum is σ = 267858240. Its totient is φ = 19353600.

The previous prime is 72791989. The next prime is 72792043. The reversal of 72792000 is 29727.

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 (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 215832 + ... + 216168.

Almost surely, 2^72792000 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 72792000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133929120).

72792000 is an abundant number, since it is smaller than the sum of its proper divisors (195066240).

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

72792000 is a wasteful number, since it uses less digits than its factorization.

72792000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 373 (or 347 counting only the distinct ones).

The product of its (nonzero) digits is 1764, while the sum is 27.

The square root of 72792000 is about 8531.8227829697. The cubic root of 72792000 is about 417.5366002312.

The spelling of 72792000 in words is "seventy-two million, seven hundred ninety-two thousand".