74390624 has 144 divisors (see below), whose sum is σ = 196499520. Its totient is φ = 27336960.

The previous prime is 74390581. The next prime is 74390629. The reversal of 74390624 is 42609347.

It is a Cunningham number, because it is equal to 8625²-1.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (74390629) 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, 327599 + ... + 327825.

It is an arithmetic number, because the mean of its divisors is an integer number (1364580).

Almost surely, 2^74390624 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 74390624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98249760).

74390624 is an abundant number, since it is smaller than the sum of its proper divisors (122108896).

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

74390624 is a wasteful number, since it uses less digits than its factorization.

74390624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 281 (or 266 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 35.

The square root of 74390624 is about 8624.9999420290. Note that the first 4 decimals coincide. The cubic root of 74390624 is about 420.5710750079.

The spelling of 74390624 in words is "seventy-four million, three hundred ninety thousand, six hundred twenty-four".