74055952 has 40 divisors (see below), whose sum is σ = 152222400. Its totient is φ = 34826880.

The previous prime is 74055923. The next prime is 74055959. The reversal of 74055952 is 25955047.

It is a hoax number, since the sum of its digits (37) coincides with the sum of the digits of its distinct prime factors.

Together with 78166448 it forms an amicable pair .

It is not an unprimeable number, because it can be changed into a prime (74055959) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 20799 + ... + 24097.

It is an arithmetic number, because the mean of its divisors is an integer number (3805560).

Almost surely, 2^74055952 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 74055952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76111200).

74055952 is an abundant number, since it is smaller than the sum of its proper divisors (78166448).

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

74055952 is a wasteful number, since it uses less digits than its factorization.

74055952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3391 (or 3385 counting only the distinct ones).

The product of its (nonzero) digits is 63000, while the sum is 37.

The square root of 74055952 is about 8605.5767964733. The cubic root of 74055952 is about 419.9394319311.

The spelling of 74055952 in words is "seventy-four million, fifty-five thousand, nine hundred fifty-two".