74768832 has 70 divisors (see below), whose sum is σ = 221653608. Its totient is φ = 24921216.

The previous prime is 74768831. The next prime is 74768843. The reversal of 74768832 is 23886747.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (74768831) 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 9 ways as a sum of consecutive naturals, for example, 2028 + ... + 12395.

Almost surely, 2^74768832 is an apocalyptic number.

74768832 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 74768832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110826804).

74768832 is an abundant number, since it is smaller than the sum of its proper divisors (146884776).

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

74768832 is a wasteful number, since it uses less digits than its factorization.

74768832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14447 (or 14428 counting only the distinct ones).

The product of its digits is 451584, while the sum is 45.

The square root of 74768832 is about 8646.8972469898. The cubic root of 74768832 is about 421.2826097494.

The spelling of 74768832 in words is "seventy-four million, seven hundred sixty-eight thousand, eight hundred thirty-two".