73686864 has 80 divisors (see below), whose sum is σ = 205145600. Its totient is φ = 22716288.

The previous prime is 73686839. The next prime is 73686931. The reversal of 73686864 is 46868637.

It is a happy number.

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

It is a congruent number.

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, 38277 + ... + 40155.

It is an arithmetic number, because the mean of its divisors is an integer number (2564320).

Almost surely, 2^73686864 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 73686864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102572800).

73686864 is an abundant number, since it is smaller than the sum of its proper divisors (131458736).

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

73686864 is a wasteful number, since it uses less digits than its factorization.

73686864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1952 (or 1946 counting only the distinct ones).

The product of its digits is 1161216, while the sum is 48.

The square root of 73686864 is about 8584.1053115628. The cubic root of 73686864 is about 419.2406233091.

The spelling of 73686864 in words is "seventy-three million, six hundred eighty-six thousand, eight hundred sixty-four".