73686132 has 96 divisors (see below), whose sum is σ = 212495360. Its totient is φ = 21928320.

The previous prime is 73686121. The next prime is 73686139. The reversal of 73686132 is 23168637.

It is a happy number.

73686132 is a `hidden beast` number, since 7 + 36 + 8 + 613 + 2 = 666.

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 (73686139) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 42678 + ... + 44370.

Almost surely, 2^73686132 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 73686132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106247680).

73686132 is an abundant number, since it is smaller than the sum of its proper divisors (138809228).

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

73686132 is a wasteful number, since it uses less digits than its factorization.

73686132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1750 (or 1742 counting only the distinct ones).

The product of its digits is 36288, while the sum is 36.

The square root of 73686132 is about 8584.0626745149. The cubic root of 73686132 is about 419.2392350691.

It can be divided in two parts, 736 and 86132, that added together give a palindrome (86868).

The spelling of 73686132 in words is "seventy-three million, six hundred eighty-six thousand, one hundred thirty-two".