74155680 has 144 divisors (see below), whose sum is σ = 264176640. Its totient is φ = 18906624.

The previous prime is 74155673. The next prime is 74155723. The reversal of 74155680 is 8655147.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 32001 + ... + 34239.

It is an arithmetic number, because the mean of its divisors is an integer number (1834560).

Almost surely, 2^74155680 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 74155680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132088320).

74155680 is an abundant number, since it is smaller than the sum of its proper divisors (190020960).

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

74155680 is a wasteful number, since it uses less digits than its factorization.

74155680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2283 (or 2272 counting only the distinct ones).

The product of its (nonzero) digits is 33600, while the sum is 36.

The square root of 74155680 is about 8611.3692291064. The cubic root of 74155680 is about 420.1278522330.

The spelling of 74155680 in words is "seventy-four million, one hundred fifty-five thousand, six hundred eighty".