74076288 has 256 divisors, whose sum is σ = 246758400. Its totient is φ = 19353600.

The previous prime is 74076283. The next prime is 74076313. The reversal of 74076288 is 88267047.

It is not an unprimeable number, because it can be changed into a prime (74076283) 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, 1043293 + ... + 1043363.

It is an arithmetic number, because the mean of its divisors is an integer number (963900).

Almost surely, 2^74076288 is an apocalyptic number.

74076288 is a gapful number since it is divisible by the number (78) 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 74076288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123379200).

74076288 is an abundant number, since it is smaller than the sum of its proper divisors (172682112).

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

74076288 is a wasteful number, since it uses less digits than its factorization.

74076288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 131 (or 119 counting only the distinct ones).

The product of its (nonzero) digits is 150528, while the sum is 42.

The square root of 74076288 is about 8606.7582747513. The cubic root of 74076288 is about 419.9778673144.

It can be divided in two parts, 7407 and 6288, that added together give a triangular number (13695 = T₁₆₅).

The spelling of 74076288 in words is "seventy-four million, seventy-six thousand, two hundred eighty-eight".