74166720 has 112 divisors (see below), whose sum is σ = 245790720. Its totient is φ = 18912256.

The previous prime is 74166713. The next prime is 74166721. The reversal of 74166720 is 2766147.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (74166721) 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, 20401 + ... + 23759.

It is an arithmetic number, because the mean of its divisors is an integer number (2194560).

Almost surely, 2^74166720 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 74166720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122895360).

74166720 is an abundant number, since it is smaller than the sum of its proper divisors (171624000).

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

74166720 is a wasteful number, since it uses less digits than its factorization.

74166720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3402 (or 3392 counting only the distinct ones).

The product of its (nonzero) digits is 14112, while the sum is 33.

The square root of 74166720 is about 8612.0102182940. The cubic root of 74166720 is about 420.1487001812.

The spelling of 74166720 in words is "seventy-four million, one hundred sixty-six thousand, seven hundred twenty".