74673792 has 256 divisors, whose sum is σ = 246758400. Its totient is φ = 22118400.

The previous prime is 74673787. The next prime is 74673793. The reversal of 74673792 is 29737647.

It is a happy number.

Its product of digits (444528) is a multiple of the sum of its prime factors (112).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (74673793) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1821292 + ... + 1821332.

It is an arithmetic number, because the mean of its divisors is an integer number (963900).

Almost surely, 2^74673792 is an apocalyptic number.

74673792 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 74673792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123379200).

74673792 is an abundant number, since it is smaller than the sum of its proper divisors (172084608).

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

74673792 is a wasteful number, since it uses less digits than its factorization.

74673792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 112 (or 94 counting only the distinct ones).

The product of its digits is 444528, while the sum is 45.

The square root of 74673792 is about 8641.3998865924. The cubic root of 74673792 is about 421.1040341104.

The spelling of 74673792 in words is "seventy-four million, six hundred seventy-three thousand, seven hundred ninety-two".