73740408 has 64 divisors (see below), whose sum is σ = 216399360. Its totient is φ = 20497536.

The previous prime is 73740389. The next prime is 73740419. The reversal of 73740408 is 80404737.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 285 + ... + 12147.

It is an arithmetic number, because the mean of its divisors is an integer number (3381240).

Almost surely, 2^73740408 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 73740408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108199680).

73740408 is an abundant number, since it is smaller than the sum of its proper divisors (142658952).

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

73740408 is a wasteful number, since it uses less digits than its factorization.

73740408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11916 (or 11912 counting only the distinct ones).

The product of its (nonzero) digits is 18816, while the sum is 33.

The square root of 73740408 is about 8587.2235326676. The cubic root of 73740408 is about 419.3421447279.

The spelling of 73740408 in words is "seventy-three million, seven hundred forty thousand, four hundred eight".