74405952 has 140 divisors (see below), whose sum is σ = 228169216. Its totient is φ = 23950080.

The previous prime is 74405917. The next prime is 74405959. The reversal of 74405952 is 25950447.

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 (74405959) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 160473 + ... + 160935.

Almost surely, 2^74405952 is an apocalyptic number.

74405952 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 74405952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114084608).

74405952 is an abundant number, since it is smaller than the sum of its proper divisors (153763264).

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

74405952 is a wasteful number, since it uses less digits than its factorization.

74405952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 518 (or 499 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 36.

The square root of 74405952 is about 8625.8884759774. Note that the first 3 decimals coincide. The cubic root of 74405952 is about 420.5999588930.

It can be divided in two parts, 74405 and 952, that added together give a palindrome (75357).

The spelling of 74405952 in words is "seventy-four million, four hundred five thousand, nine hundred fifty-two".