74112192 has 224 divisors, whose sum is σ = 272125440. Its totient is φ = 19215360.

The previous prime is 74112173. The next prime is 74112229. The reversal of 74112192 is 29121147.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 132778 + ... + 133334.

Almost surely, 2^74112192 is an apocalyptic number.

74112192 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 74112192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136062720).

74112192 is an abundant number, since it is smaller than the sum of its proper divisors (198013248).

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

74112192 is a wasteful number, since it uses less digits than its factorization.

74112192 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 596 (or 580 counting only the distinct ones).

The product of its digits is 1008, while the sum is 27.

The square root of 74112192 is about 8608.8438248118. The cubic root of 74112192 is about 420.0457093109.

The spelling of 74112192 in words is "seventy-four million, one hundred twelve thousand, one hundred ninety-two".