74002896 has 200 divisors, whose sum is σ = 243064800. Its totient is φ = 21530880.

The previous prime is 74002861. The next prime is 74002919. The reversal of 74002896 is 69820047.

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

It is a self number, because there is not a number n which added to its sum of digits gives 74002896.

It is a congruent number.

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 39 ways as a sum of consecutive naturals, for example, 413335 + ... + 413513.

It is an arithmetic number, because the mean of its divisors is an integer number (1215324).

Almost surely, 2^74002896 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 74002896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121532400).

74002896 is an abundant number, since it is smaller than the sum of its proper divisors (169061904).

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

74002896 is a wasteful number, since it uses less digits than its factorization.

74002896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 239 (or 224 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 74002896 is about 8602.4935919767. The cubic root of 74002896 is about 419.8391220582.

It can be divided in two parts, 7400 and 2896, that added together give a triangular number (10296 = T₁₄₃).

The spelling of 74002896 in words is "seventy-four million, two thousand, eight hundred ninety-six".