73645968 has 80 divisors (see below), whose sum is σ = 209754432. Its totient is φ = 22080000.

The previous prime is 73645961. The next prime is 73645969. The reversal of 73645968 is 86954637.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (73645961) 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, 52638 + ... + 54018.

Almost surely, 2^73645968 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 73645968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104877216).

73645968 is an abundant number, since it is smaller than the sum of its proper divisors (136108464).

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

73645968 is a wasteful number, since it uses less digits than its factorization.

73645968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1504 (or 1498 counting only the distinct ones).

The product of its digits is 1088640, while the sum is 48.

The square root of 73645968 is about 8581.7229039395. The cubic root of 73645968 is about 419.1630498383.

The spelling of 73645968 in words is "seventy-three million, six hundred forty-five thousand, nine hundred sixty-eight".