73687680 has 192 divisors, whose sum is σ = 277823520. Its totient is φ = 17848320.

The previous prime is 73687667. The next prime is 73687687. The reversal of 73687680 is 8678637.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (73687687) 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, 62779 + ... + 63941.

Almost surely, 2^73687680 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 73687680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138911760).

73687680 is an abundant number, since it is smaller than the sum of its proper divisors (204135840).

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

73687680 is a wasteful number, since it uses less digits than its factorization.

73687680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1199 (or 1184 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 45.

The square root of 73687680 is about 8584.1528411370. The cubic root of 73687680 is about 419.2421708445.

The spelling of 73687680 in words is "seventy-three million, six hundred eighty-seven thousand, six hundred eighty".