74643600 has 120 divisors (see below), whose sum is σ = 253242720. Its totient is φ = 18728960.

The previous prime is 74643587. The next prime is 74643601. The reversal of 74643600 is 634647.

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-3 number, since 3×74643600³ (a number of 25 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (74643601) 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, 18571 + ... + 22229.

It is an arithmetic number, because the mean of its divisors is an integer number (2110356).

Almost surely, 2^74643600 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 74643600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126621360).

74643600 is an abundant number, since it is smaller than the sum of its proper divisors (178599120).

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

74643600 is a wasteful number, since it uses less digits than its factorization.

74643600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3697 (or 3686 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 30.

The square root of 74643600 is about 8639.6527708005. The cubic root of 74643600 is about 421.0472730678.

The spelling of 74643600 in words is "seventy-four million, six hundred forty-three thousand, six hundred".