73934440 has 64 divisors (see below), whose sum is σ = 171038160. Its totient is φ = 28753920.

The previous prime is 73934437. The next prime is 73934459. The reversal of 73934440 is 4443937.

It can be written as a sum of positive squares in 8 ways, for example, as 2125764 + 71808676 = 1458^2 + 8474^2 .

It is a super-2 number, since 2×73934440² = 10932602836227200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 73934396 and 73934405.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 382984 + ... + 383176.

Almost surely, 2^73934440 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 73934440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85519080).

73934440 is an abundant number, since it is smaller than the sum of its proper divisors (97103720).

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

73934440 is a wasteful number, since it uses less digits than its factorization.

73934440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 422 (or 418 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 34.

The square root of 73934440 is about 8598.5138250747. The cubic root of 73934440 is about 419.7096254433.

The spelling of 73934440 in words is "seventy-three million, nine hundred thirty-four thousand, four hundred forty".