73949040 has 120 divisors (see below), whose sum is σ = 270951408. Its totient is φ = 17925120.

The previous prime is 73949033. The next prime is 73949063. The reversal of 73949040 is 4094937.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 73948986 and 73949004.

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 23 ways as a sum of consecutive naturals, for example, 3252 + ... + 12588.

Almost surely, 2^73949040 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 73949040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135475704).

73949040 is an abundant number, since it is smaller than the sum of its proper divisors (197002368).

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

73949040 is a wasteful number, since it uses less digits than its factorization.

73949040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9367 (or 9358 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 36.

The square root of 73949040 is about 8599.3627670892. The cubic root of 73949040 is about 419.7372506259.

The spelling of 73949040 in words is "seventy-three million, nine hundred forty-nine thousand, forty".