74173680 has 120 divisors (see below), whose sum is σ = 284704992. Its totient is φ = 16952832.

The previous prime is 74173651. The next prime is 74173681. The reversal of 74173680 is 8637147.

It is a tau number, because it is divible by the number of its divisors (120).

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 (74173681) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2319 + ... + 12398.

Almost surely, 2^74173680 is an apocalyptic number.

74173680 is a gapful number since it is divisible by the number (70) 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 74173680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142352496).

74173680 is an abundant number, since it is smaller than the sum of its proper divisors (210531312).

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

74173680 is a wasteful number, since it uses less digits than its factorization.

74173680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14743 (or 14734 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 36.

The square root of 74173680 is about 8612.4142956548. The cubic root of 74173680 is about 420.1618423897.

The spelling of 74173680 in words is "seventy-four million, one hundred seventy-three thousand, six hundred eighty".