74872800 has 108 divisors (see below), whose sum is σ = 264045600. Its totient is φ = 19964160.

The previous prime is 74872799. The next prime is 74872801. The reversal of 74872800 is 827847.

It is an interprime number because it is at equal distance from previous prime (74872799) and next prime (74872801).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (74872801) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 2001 + ... + 12399.

Almost surely, 2^74872800 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 74872800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132022800).

74872800 is an abundant number, since it is smaller than the sum of its proper divisors (189172800).

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

74872800 is a wasteful number, since it uses less digits than its factorization.

74872800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10425 (or 10409 counting only the distinct ones).

The product of its (nonzero) digits is 25088, while the sum is 36.

The square root of 74872800 is about 8652.9070259653. The cubic root of 74872800 is about 421.4777874424.

The spelling of 74872800 in words is "seventy-four million, eight hundred seventy-two thousand, eight hundred".