74166624 has 96 divisors (see below), whose sum is σ = 247242240. Its totient is φ = 21188736.

The previous prime is 74166607. The next prime is 74166629. The reversal of 74166624 is 42666147.

It is a tau number, because it is divible by the number of its divisors (96).

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

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (74166629) 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, 84 + ... + 12179.

It is an arithmetic number, because the mean of its divisors is an integer number (2575440).

Almost surely, 2^74166624 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 74166624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123621120).

74166624 is an abundant number, since it is smaller than the sum of its proper divisors (173075616).

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

74166624 is a wasteful number, since it uses less digits than its factorization.

74166624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12289 (or 12275 counting only the distinct ones).

The product of its digits is 48384, while the sum is 36.

The square root of 74166624 is about 8612.0046446806. The cubic root of 74166624 is about 420.1485189037.

The spelling of 74166624 in words is "seventy-four million, one hundred sixty-six thousand, six hundred twenty-four".