72794700 has 360 divisors, whose sum is σ = 277273920. Its totient is φ = 16329600.

The previous prime is 72794699. The next prime is 72794707. The reversal of 72794700 is 749727.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (72794707) by changing a digit.

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 119 ways as a sum of consecutive naturals, for example, 1692879 + ... + 1692921.

Almost surely, 2^72794700 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 72794700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138636960).

72794700 is an abundant number, since it is smaller than the sum of its proper divisors (204479220).

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

72794700 is a wasteful number, since it uses less digits than its factorization.

72794700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 99 (or 83 counting only the distinct ones).

The product of its (nonzero) digits is 24696, while the sum is 36.

The square root of 72794700 is about 8531.9810126371. The cubic root of 72794700 is about 417.5417625882.

The spelling of 72794700 in words is "seventy-two million, seven hundred ninety-four thousand, seven hundred".