73849440 has 192 divisors, whose sum is σ = 274821120. Its totient is φ = 16312320.

The previous prime is 73849403. The next prime is 73849459. The reversal of 73849440 is 4494837.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 103806 + ... + 104514.

It is an arithmetic number, because the mean of its divisors is an integer number (1431360).

Almost surely, 2^73849440 is an apocalyptic number.

73849440 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 73849440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137410560).

73849440 is an abundant number, since it is smaller than the sum of its proper divisors (200971680).

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

73849440 is a wasteful number, since it uses less digits than its factorization.

73849440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 765 (or 757 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 39.

The square root of 73849440 is about 8593.5696890175. The cubic root of 73849440 is about 419.5487216368.

The spelling of 73849440 in words is "seventy-three million, eight hundred forty-nine thousand, four hundred forty".