74395152 has 120 divisors (see below), whose sum is σ = 231458400. Its totient is φ = 22868352.

The previous prime is 74395151. The next prime is 74395157. The reversal of 74395152 is 25159347.

It is a super-2 number, since 2×74395152² = 11069277282206208, which contains 22 as substring.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (74395151) 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, 72499 + ... + 73517.

It is an arithmetic number, because the mean of its divisors is an integer number (1928820).

Almost surely, 2^74395152 is an apocalyptic number.

74395152 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 74395152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115729200).

74395152 is an abundant number, since it is smaller than the sum of its proper divisors (157063248).

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

74395152 is a wasteful number, since it uses less digits than its factorization.

74395152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1062 (or 1037 counting only the distinct ones).

The product of its digits is 37800, while the sum is 36.

The square root of 74395152 is about 8625.2624307901. The cubic root of 74395152 is about 420.5796079254.

It can be divided in two parts, 74395 and 152, that added together give a palindrome (74547).

The spelling of 74395152 in words is "seventy-four million, three hundred ninety-five thousand, one hundred fifty-two".