74536800 has 144 divisors (see below), whose sum is σ = 261389520. Its totient is φ = 18339840.

The previous prime is 74536799. The next prime is 74536801. The reversal of 74536800 is 863547.

It is an interprime number because it is at equal distance from previous prime (74536799) and next prime (74536801).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (74536801) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 30006 + ... + 32394.

It is an arithmetic number, because the mean of its divisors is an integer number (1815205).

Almost surely, 2^74536800 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 74536800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130694760).

74536800 is an abundant number, since it is smaller than the sum of its proper divisors (186852720).

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

74536800 is a wasteful number, since it uses less digits than its factorization.

74536800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2425 (or 2412 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 33.

The square root of 74536800 is about 8633.4697543919. The cubic root of 74536800 is about 420.8463658568.

The spelling of 74536800 in words is "seventy-four million, five hundred thirty-six thousand, eight hundred".