74872080 has 160 divisors (see below), whose sum is σ = 273196800. Its totient is φ = 18782208.

The previous prime is 74872079. The next prime is 74872087. The reversal of 74872080 is 8027847.

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

It is not an unprimeable number, because it can be changed into a prime (74872087) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 35701 + ... + 37739.

It is an arithmetic number, because the mean of its divisors is an integer number (1707480).

Almost surely, 2^74872080 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 74872080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136598400).

74872080 is an abundant number, since it is smaller than the sum of its proper divisors (198324720).

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

74872080 is a wasteful number, since it uses less digits than its factorization.

74872080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2078 (or 2066 counting only the distinct ones).

The product of its (nonzero) digits is 25088, while the sum is 36.

The square root of 74872080 is about 8652.8654213503. The cubic root of 74872080 is about 421.4764364178.

74872080 divided by its sum of digits (36) gives a triangular number (2079780 = T₂₀₃₉).

The spelling of 74872080 in words is "seventy-four million, eight hundred seventy-two thousand, eighty".