74696832 has 192 divisors, whose sum is σ = 251409600. Its totient is φ = 20846592.

The previous prime is 74696789. The next prime is 74696833. The reversal of 74696832 is 23869647.

It is a tau number, because it is divible by the number of its divisors (192).

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

Its product of digits (435456) is a multiple of the sum of its prime factors (243).

It is not an unprimeable number, because it can be changed into a prime (74696833) 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, 475698 + ... + 475854.

It is an arithmetic number, because the mean of its divisors is an integer number (1309425).

Almost surely, 2^74696832 is an apocalyptic number.

74696832 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 74696832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125704800).

74696832 is an abundant number, since it is smaller than the sum of its proper divisors (176712768).

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

74696832 is a wasteful number, since it uses less digits than its factorization.

74696832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 243 (or 228 counting only the distinct ones).

The product of its digits is 435456, while the sum is 45.

The square root of 74696832 is about 8642.7329011141. The cubic root of 74696832 is about 421.1473390818.

The spelling of 74696832 in words is "seventy-four million, six hundred ninety-six thousand, eight hundred thirty-two".