74088000 has 448 divisors, whose sum is σ = 316992000. Its totient is φ = 16934400.

The previous prime is 74087983. The next prime is 74088013. The reversal of 74088000 is 88047.

It is a happy number.

The cubic root of 74088000 is 420.

It is a perfect power (a cube), and thus also a powerful number.

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 10583997 + ... + 10584003.

Almost surely, 2^74088000 is an apocalyptic number.

74088000 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 74088000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158496000).

74088000 is an abundant number, since it is smaller than the sum of its proper divisors (242904000).

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

74088000 is an equidigital number, since it uses as much as digits as its factorization.

74088000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 57 (or 17 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 27.

The square root of 74088000 is about 8607.4386434061.

Multiplying 74088000 by its sum of digits (27), we get a cube (2000376000 = 1260³).

74088000 divided by its sum of digits (27) gives a cube (2744000 = 140³).

The spelling of 74088000 in words is "seventy-four million, eighty-eight thousand".