73986960 has 160 divisors (see below), whose sum is σ = 240484608. Its totient is φ = 18800640.

The previous prime is 73986949. The next prime is 73986967. The reversal of 73986960 is 6968937.

It is a happy number.

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 (73986967) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 718269 + ... + 718371.

Almost surely, 2^73986960 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 73986960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120242304).

73986960 is an abundant number, since it is smaller than the sum of its proper divisors (166497648).

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

73986960 is a wasteful number, since it uses less digits than its factorization.

73986960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 233 (or 227 counting only the distinct ones).

The product of its (nonzero) digits is 489888, while the sum is 48.

The square root of 73986960 is about 8601.5672990450. The cubic root of 73986960 is about 419.8089834334.

The spelling of 73986960 in words is "seventy-three million, nine hundred eighty-six thousand, nine hundred sixty".