74251840 has 84 divisors (see below), whose sum is σ = 191598804. Its totient is φ = 27396096.

The previous prime is 74251831. The next prime is 74251873. The reversal of 74251840 is 4815247.

It can be written as a sum of positive squares in 6 ways, for example, as 1115136 + 73136704 = 1056^2 + 8552^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 53394 + ... + 54766.

Almost surely, 2^74251840 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 74251840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95799402).

74251840 is an abundant number, since it is smaller than the sum of its proper divisors (117346964).

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

74251840 is a wasteful number, since it uses less digits than its factorization.

74251840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1416 (or 1393 counting only the distinct ones).

The product of its (nonzero) digits is 8960, while the sum is 31.

The square root of 74251840 is about 8616.9507367746. The cubic root of 74251840 is about 420.3093714567.

The spelling of 74251840 in words is "seventy-four million, two hundred fifty-one thousand, eight hundred forty".