74864832 has 112 divisors (see below), whose sum is σ = 230867712. Its totient is φ = 20966400.

The previous prime is 74864831. The next prime is 74864857. The reversal of 74864832 is 23846847.

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

It is a super-3 number, since 3×74864832³ (a number of 25 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (74864831) 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 15 ways as a sum of consecutive naturals, for example, 70707 + ... + 71757.

Almost surely, 2^74864832 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 74864832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115433856).

74864832 is an abundant number, since it is smaller than the sum of its proper divisors (156002880).

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

74864832 is a wasteful number, since it uses less digits than its factorization.

74864832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1126 (or 1116 counting only the distinct ones).

The product of its digits is 258048, while the sum is 42.

The square root of 74864832 is about 8652.4465904159. The cubic root of 74864832 is about 421.4628356212.

The spelling of 74864832 in words is "seventy-four million, eight hundred sixty-four thousand, eight hundred thirty-two".