73666900 has 36 divisors (see below), whose sum is σ = 160231932. Its totient is φ = 29397760.

The previous prime is 73666867. The next prime is 73666919. The reversal of 73666900 is 966637.

It can be written as a sum of positive squares in 6 ways, for example, as 13883076 + 59783824 = 3726^2 + 7732^2 .

It is a super-2 number, since 2×73666900² = 10853624311220000, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 73666900.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 76824 + ... + 77776.

It is an arithmetic number, because the mean of its divisors is an integer number (4450887).

Almost surely, 2^73666900 is an apocalyptic number.

It is an amenable number.

73666900 is an abundant number, since it is smaller than the sum of its proper divisors (86565032).

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

73666900 is a wasteful number, since it uses less digits than its factorization.

73666900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1740 (or 1733 counting only the distinct ones).

The product of its (nonzero) digits is 40824, while the sum is 37.

The square root of 73666900 is about 8582.9423859187. The cubic root of 73666900 is about 419.2027582346.

The spelling of 73666900 in words is "seventy-three million, six hundred sixty-six thousand, nine hundred".