73686420 has 36 divisors (see below), whose sum is σ = 223516020. Its totient is φ = 19649664.

The previous prime is 73686397. The next prime is 73686421. The reversal of 73686420 is 2468637.

73686420 is a `hidden beast` number, since 7 + 3 + 6 + 8 + 642 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 53056656 + 20629764 = 7284^2 + 4542^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (73686421) 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, 204505 + ... + 204864.

Almost surely, 2^73686420 is an apocalyptic number.

It is an amenable number.

73686420 is an abundant number, since it is smaller than the sum of its proper divisors (149829600).

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

73686420 is a wasteful number, since it uses less digits than its factorization.

73686420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 409384 (or 409379 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The square root of 73686420 is about 8584.0794497721. The cubic root of 73686420 is about 419.2397812630.

The spelling of 73686420 in words is "seventy-three million, six hundred eighty-six thousand, four hundred twenty".