73257664 has 28 divisors (see below), whose sum is σ = 146531584. Its totient is φ = 36336384.

The previous prime is 73257661. The next prime is 73257703. The reversal of 73257664 is 46675237.

73257664 is an admirable number.

It is not an unprimeable number, because it can be changed into a prime (73257661) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 3622 + ... + 12634.

Almost surely, 2^73257664 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 73257664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73265792).

73257664 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

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

73257664 is a wasteful number, since it uses less digits than its factorization.

73257664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9152 (or 9142 counting only the distinct ones).

The product of its digits is 211680, while the sum is 40.

The square root of 73257664 is about 8559.0691082617. The cubic root of 73257664 is about 418.4250615330.

The spelling of 73257664 in words is "seventy-three million, two hundred fifty-seven thousand, six hundred sixty-four".