74313792 has 126 divisors (see below), whose sum is σ = 247877838. Its totient is φ = 21224448.

The previous prime is 74313751. The next prime is 74313809. The reversal of 74313792 is 29731347.

It can be written as a sum of positive squares in only one way, i.e., 52186176 + 22127616 = 7224^2 + 4704^2 .

It is a tau number, because it is divible by the number of its divisors (126).

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

It is a nude number because it is divisible by every one of its digits.

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 17 ways as a sum of consecutive naturals, for example, 26908 + ... + 29540.

Almost surely, 2^74313792 is an apocalyptic number.

74313792 is a gapful number since it is divisible by the number (72) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 74313792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123938919).

74313792 is an abundant number, since it is smaller than the sum of its proper divisors (173564046).

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

74313792 is a wasteful number, since it uses less digits than its factorization.

74313792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2665 (or 2645 counting only the distinct ones).

The product of its digits is 31752, while the sum is 36.

The square root of 74313792 is about 8620.5447623686. The cubic root of 74313792 is about 420.4262339599.

It can be divided in two parts, 743 and 13792, that added together give a triangular number (14535 = T₁₇₀).

The spelling of 74313792 in words is "seventy-four million, three hundred thirteen thousand, seven hundred ninety-two".