74416752 has 80 divisors (see below), whose sum is σ = 226190880. Its totient is φ = 23344128.

The previous prime is 74416723. The next prime is 74416757. The reversal of 74416752 is 25761447.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (74416757) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2278 + ... + 12410.

It is an arithmetic number, because the mean of its divisors is an integer number (2827386).

Almost surely, 2^74416752 is an apocalyptic number.

74416752 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 74416752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113095440).

74416752 is an abundant number, since it is smaller than the sum of its proper divisors (151774128).

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

74416752 is a wasteful number, since it uses less digits than its factorization.

74416752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10167 (or 10155 counting only the distinct ones).

The product of its digits is 47040, while the sum is 36.

The square root of 74416752 is about 8626.5144757312. The cubic root of 74416752 is about 420.6203078914.

The spelling of 74416752 in words is "seventy-four million, four hundred sixteen thousand, seven hundred fifty-two".