73919040 has 112 divisors (see below), whose sum is σ = 252788928. Its totient is φ = 18192384.

The previous prime is 73919029. The next prime is 73919059. The reversal of 73919040 is 4091937.

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 73918992 and 73919010.

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, 9519 + ... + 15441.

It is an arithmetic number, because the mean of its divisors is an integer number (2257044).

Almost surely, 2^73919040 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 73919040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126394464).

73919040 is an abundant number, since it is smaller than the sum of its proper divisors (178869888).

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

73919040 is a wasteful number, since it uses less digits than its factorization.

73919040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5956 (or 5946 counting only the distinct ones).

The product of its (nonzero) digits is 6804, while the sum is 33.

The square root of 73919040 is about 8597.6182748480. The cubic root of 73919040 is about 419.6804826106.

The spelling of 73919040 in words is "seventy-three million, nine hundred nineteen thousand, forty".