74521600 has 132 divisors (see below), whose sum is σ = 191893968. Its totient is φ = 28672000.

The previous prime is 74521597. The next prime is 74521607. The reversal of 74521600 is 612547.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (74521607) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1049565 + ... + 1049635.

Almost surely, 2^74521600 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 74521600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95946984).

74521600 is an abundant number, since it is smaller than the sum of its proper divisors (117372368).

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

74521600 is a wasteful number, since it uses less digits than its factorization.

74521600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 142 (or 119 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 25.

The square root of 74521600 is about 8632.5894145384. The cubic root of 74521600 is about 420.8177567239.

The spelling of 74521600 in words is "seventy-four million, five hundred twenty-one thousand, six hundred".