73457664 has 168 divisors, whose sum is σ = 231590088. Its totient is φ = 20643840.

The previous prime is 73457651. The next prime is 73457669. The reversal of 73457664 is 46675437.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (168).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (73457669) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1204194 + ... + 1204254.

Almost surely, 2^73457664 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 73457664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115795044).

73457664 is an abundant number, since it is smaller than the sum of its proper divisors (158132424).

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

73457664 is an equidigital number, since it uses as much as digits as its factorization.

73457664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 104 (or 73 counting only the distinct ones).

The product of its digits is 423360, while the sum is 42.

The square root of 73457664 is about 8570.7446584296. The cubic root of 73457664 is about 418.8054948655.

The spelling of 73457664 in words is "seventy-three million, four hundred fifty-seven thousand, six hundred sixty-four".