74147040 has 288 divisors, whose sum is σ = 286820352. Its totient is φ = 17280000.

The previous prime is 74147039. The next prime is 74147069. The reversal of 74147040 is 4074147.

It is a tau number, because it is divible by the number of its divisors (288).

It is a junction number, because it is equal to n+sod(n) for n = 74146995 and 74147013.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 490965 + ... + 491115.

It is an arithmetic number, because the mean of its divisors is an integer number (995904).

Almost surely, 2^74147040 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 74147040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143410176).

74147040 is an abundant number, since it is smaller than the sum of its proper divisors (212673312).

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

74147040 is a wasteful number, since it uses less digits than its factorization.

74147040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 214 (or 203 counting only the distinct ones).

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

The square root of 74147040 is about 8610.8675521111. The cubic root of 74147040 is about 420.1115350040. Note that the first 3 decimals are identical.

The spelling of 74147040 in words is "seventy-four million, one hundred forty-seven thousand, forty".