74293200 has 150 divisors (see below), whose sum is σ = 266748614. Its totient is φ = 19802880.

The previous prime is 74293199. The next prime is 74293223. The reversal of 74293200 is 239247.

It can be written as a sum of positive squares in 3 ways, for example, as 1498176 + 72795024 = 1224^2 + 8532^2 .

It is a tau number, because it is divible by the number of its divisors (150).

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 polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 31254 + ... + 33546.

Almost surely, 2^74293200 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 74293200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133374307).

74293200 is an abundant number, since it is smaller than the sum of its proper divisors (192455414).

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

74293200 is a wasteful number, since it uses less digits than its factorization.

74293200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2323 (or 2303 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

The square root of 74293200 is about 8619.3503235453. The cubic root of 74293200 is about 420.3873976661.

The spelling of 74293200 in words is "seventy-four million, two hundred ninety-three thousand, two hundred".