74004192 has 144 divisors (see below), whose sum is σ = 226017792. Its totient is φ = 23794560.

The previous prime is 74004191. The next prime is 74004193. The reversal of 74004192 is 29140047.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (74004191) and next prime (74004193).

It is a tau number, because it is divible by the number of its divisors (144).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (74004191) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 240903 + ... + 241209.

It is an arithmetic number, because the mean of its divisors is an integer number (1569568).

Almost surely, 2^74004192 is an apocalyptic number.

74004192 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 74004192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113008896).

74004192 is an abundant number, since it is smaller than the sum of its proper divisors (152013600).

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

74004192 is a wasteful number, since it uses less digits than its factorization.

74004192 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 363 (or 343 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 74004192 is about 8602.5689186428. The cubic root of 74004192 is about 419.8415729007.

The spelling of 74004192 in words is "seventy-four million, four thousand, one hundred ninety-two".