81852732 has 144 divisors (see below), whose sum is σ = 238187040. Its totient is φ = 23514624.

The previous prime is 81852713. The next prime is 81852763. The reversal of 81852732 is 23725818.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 502083 + ... + 502245.

Almost surely, 2^81852732 is an apocalyptic number.

81852732 is the 4524-th decagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 81852732, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119093520).

81852732 is an abundant number, since it is smaller than the sum of its proper divisors (156334308).

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

81852732 is a wasteful number, since it uses less digits than its factorization.

81852732 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 252 (or 247 counting only the distinct ones).

The product of its digits is 26880, while the sum is 36.

The square root of 81852732 is about 9047.2499689132. The cubic root of 81852732 is about 434.1879101620.

The spelling of 81852732 in words is "eighty-one million, eight hundred fifty-two thousand, seven hundred thirty-two".