74714400 has 180 divisors, whose sum is σ = 272705202. Its totient is φ = 19906560.

The previous prime is 74714399. The next prime is 74714407. The reversal of 74714400 is 441747.

It can be written as a sum of positive squares in 3 ways, for example, as 64448784 + 10265616 = 8028^2 + 3204^2 .

It is a tau number, because it is divible by the number of its divisors (180).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (74714407) by changing a digit.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 64224 + ... + 65376.

Almost surely, 2^74714400 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 74714400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136352601).

74714400 is an abundant number, since it is smaller than the sum of its proper divisors (197990802).

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

74714400 is a wasteful number, since it uses less digits than its factorization.

74714400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1185 (or 1163 counting only the distinct ones).

The product of its (nonzero) digits is 3136, while the sum is 27.

The square root of 74714400 is about 8643.7491865509. The cubic root of 74714400 is about 421.1803531392.

The spelling of 74714400 in words is "seventy-four million, seven hundred fourteen thousand, four hundred".