73697664 has 128 divisors (see below), whose sum is σ = 208373760. Its totient is φ = 23040000.

The previous prime is 73697653. The next prime is 73697677. The reversal of 73697664 is 46679637.

It is a tau number, because it is divible by the number of its divisors (128).

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, 487989 + ... + 488139.

It is an arithmetic number, because the mean of its divisors is an integer number (1627920).

Almost surely, 2^73697664 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 73697664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104186880).

73697664 is an abundant number, since it is smaller than the sum of its proper divisors (134676096).

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

73697664 is a wasteful number, since it uses less digits than its factorization.

73697664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 240 (or 228 counting only the distinct ones).

The product of its digits is 1143072, while the sum is 48.

The square root of 73697664 is about 8584.7343581499. The cubic root of 73697664 is about 419.2611044699.

The spelling of 73697664 in words is "seventy-three million, six hundred ninety-seven thousand, six hundred sixty-four".