74151680 has 72 divisors (see below), whose sum is σ = 187026000. Its totient is φ = 28090368.

The previous prime is 74151673. The next prime is 74151697. The reversal of 74151680 is 8615147.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 22796 + ... + 25844.

Almost surely, 2^74151680 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 74151680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93513000).

74151680 is an abundant number, since it is smaller than the sum of its proper divisors (112874320).

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

74151680 is a wasteful number, since it uses less digits than its factorization.

74151680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3089 (or 3075 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 32.

The square root of 74151680 is about 8611.1369748716. The cubic root of 74151680 is about 420.1202981179.

The spelling of 74151680 in words is "seventy-four million, one hundred fifty-one thousand, six hundred eighty".