73668636 has 96 divisors (see below), whose sum is σ = 198696960. Its totient is φ = 23587200.

The previous prime is 73668611. The next prime is 73668653. The reversal of 73668636 is 63686637.

73668636 is a `hidden beast` number, since 7 + 3 + 6 + 6 + 8 + 636 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 73668591 and 73668600.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 562291 + ... + 562421.

It is an arithmetic number, because the mean of its divisors is an integer number (2069760).

Almost surely, 2^73668636 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 73668636, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99348480).

73668636 is an abundant number, since it is smaller than the sum of its proper divisors (125028324).

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

73668636 is a wasteful number, since it uses less digits than its factorization.

73668636 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 312 (or 304 counting only the distinct ones).

The product of its digits is 653184, while the sum is 45.

The square root of 73668636 is about 8583.0435161427. The cubic root of 73668636 is about 419.2060511213.

The spelling of 73668636 in words is "seventy-three million, six hundred sixty-eight thousand, six hundred thirty-six".