73887264 has 144 divisors (see below), whose sum is σ = 232805664. Its totient is φ = 22041600.

The previous prime is 73887263. The next prime is 73887271. The reversal of 73887264 is 46278837.

It is a happy number.

73887264 is a `hidden beast` number, since 7 + 388 + 7 + 264 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is not an unprimeable number, because it can be changed into a prime (73887263) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 262804 + ... + 263084.

It is an arithmetic number, because the mean of its divisors is an integer number (1616706).

Almost surely, 2^73887264 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 73887264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116402832).

73887264 is an abundant number, since it is smaller than the sum of its proper divisors (158918400).

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

73887264 is a wasteful number, since it uses less digits than its factorization.

73887264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 391 (or 380 counting only the distinct ones).

The product of its digits is 451584, while the sum is 45.

The square root of 73887264 is about 8595.7701225661. The cubic root of 73887264 is about 419.6203371759.

The spelling of 73887264 in words is "seventy-three million, eight hundred eighty-seven thousand, two hundred sixty-four".