74269800 has 288 divisors, whose sum is σ = 283196160. Its totient is φ = 17424000.

The previous prime is 74269771. The next prime is 74269807. The reversal of 74269800 is 896247.

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

It is not an unprimeable number, because it can be changed into a prime (74269807) 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 71 ways as a sum of consecutive naturals, for example, 2395785 + ... + 2395815.

It is an arithmetic number, because the mean of its divisors is an integer number (983320).

Almost surely, 2^74269800 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 74269800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141598080).

74269800 is an abundant number, since it is smaller than the sum of its proper divisors (208926360).

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

74269800 is a wasteful number, since it uses less digits than its factorization.

74269800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86 (or 52 counting only the distinct ones).

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

The square root of 74269800 is about 8617.9928057524. The cubic root of 74269800 is about 420.3432568023.

The spelling of 74269800 in words is "seventy-four million, two hundred sixty-nine thousand, eight hundred".