74145792 has 112 divisors (see below), whose sum is σ = 226478592. Its totient is φ = 21135360.

The previous prime is 74145791. The next prime is 74145793. The reversal of 74145792 is 29754147.

It is an interprime number because it is at equal distance from previous prime (74145791) and next prime (74145793).

It is a tau number, because it is divible by the number of its divisors (112).

It is a self number, because there is not a number n which added to its sum of digits gives 74145792.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (74145791) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 171817 + ... + 172247.

Almost surely, 2^74145792 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 74145792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113239296).

74145792 is an abundant number, since it is smaller than the sum of its proper divisors (152332800).

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

74145792 is an equidigital number, since it uses as much as digits as its factorization.

74145792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 467 (or 443 counting only the distinct ones).

The product of its digits is 70560, while the sum is 39.

The square root of 74145792 is about 8610.7950852404. The cubic root of 74145792 is about 420.1091779662.

Subtracting from 74145792 its sum of digits (39), we obtain a triangular number (74145753 = T₁₂₁₇₇).

The spelling of 74145792 in words is "seventy-four million, one hundred forty-five thousand, seven hundred ninety-two".