74973600 has 360 divisors, whose sum is σ = 297754380. Its totient is φ = 18247680.

The previous prime is 74973599. The next prime is 74973611. The reversal of 74973600 is 637947.

74973600 is a `hidden beast` number, since 7 + 49 + 7 + 3 + 600 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 5817744 + 69155856 = 2412^2 + 8316^2 .

It is a tau number, because it is divible by the number of its divisors (360).

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

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 842356 + ... + 842444.

Almost surely, 2^74973600 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 74973600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148877190).

74973600 is an abundant number, since it is smaller than the sum of its proper divisors (222780780).

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

74973600 is a wasteful number, since it uses less digits than its factorization.

74973600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 134 (or 112 counting only the distinct ones).

The product of its (nonzero) digits is 31752, while the sum is 36.

The square root of 74973600 is about 8658.7296989801. The cubic root of 74973600 is about 421.6668454609. Note that the first 3 decimals are identical.

The spelling of 74973600 in words is "seventy-four million, nine hundred seventy-three thousand, six hundred".