81702432 has 288 divisors, whose sum is σ = 293529600. Its totient is φ = 21835008.

The previous prime is 81702427. The next prime is 81702443. The reversal of 81702432 is 23420718.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 81702396 and 81702405.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1034169 + ... + 1034247.

It is an arithmetic number, because the mean of its divisors is an integer number (1019200).

Almost surely, 2^81702432 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 81702432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146764800).

81702432 is an abundant number, since it is smaller than the sum of its proper divisors (211827168).

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

81702432 is a wasteful number, since it uses less digits than its factorization.

81702432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 130 (or 110 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 81702432 is about 9038.9397608348. The cubic root of 81702432 is about 433.9219918266.

The spelling of 81702432 in words is "eighty-one million, seven hundred two thousand, four hundred thirty-two".