73765968 has 80 divisors (see below), whose sum is σ = 200999040. Its totient is φ = 23265792.

The previous prime is 73765963. The next prime is 73766023. The reversal of 73765968 is 86956737.

Its product of digits (1905120) is a multiple of the sum of its prime factors (756).

It is a self number, because there is not a number n which added to its sum of digits gives 73765968.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (73765963) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 120030 + ... + 120642.

It is an arithmetic number, because the mean of its divisors is an integer number (2512488).

Almost surely, 2^73765968 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 73765968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100499520).

73765968 is an abundant number, since it is smaller than the sum of its proper divisors (127233072).

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

73765968 is a wasteful number, since it uses less digits than its factorization.

73765968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 756 (or 750 counting only the distinct ones).

The product of its digits is 1905120, while the sum is 51.

The square root of 73765968 is about 8588.7116612447. The cubic root of 73765968 is about 419.3905901115.

The spelling of 73765968 in words is "seventy-three million, seven hundred sixty-five thousand, nine hundred sixty-eight".