74200896 has 252 divisors, whose sum is σ = 271028160. Its totient is φ = 19192320.

The previous prime is 74200883. The next prime is 74200897. The reversal of 74200896 is 69800247.

It is a tau number, because it is divible by the number of its divisors (252).

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 74200896.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (74200897) by changing a digit.

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 35 ways as a sum of consecutive naturals, for example, 310345 + ... + 310583.

Almost surely, 2^74200896 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 74200896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135514080).

74200896 is an abundant number, since it is smaller than the sum of its proper divisors (196827264).

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

74200896 is a wasteful number, since it uses less digits than its factorization.

74200896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 282 (or 262 counting only the distinct ones).

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

The square root of 74200896 is about 8613.9941954937. The cubic root of 74200896 is about 420.2132250652.

The spelling of 74200896 in words is "seventy-four million, two hundred thousand, eight hundred ninety-six".