81735528 has 64 divisors (see below), whose sum is σ = 238320000. Its totient is φ = 23350656.

The previous prime is 81735527. The next prime is 81735529. The reversal of 81735528 is 82553718.

It is an interprime number because it is at equal distance from previous prime (81735527) and next prime (81735529).

It is a super-3 number, since 3×81735528³ (a number of 25 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (81735527) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3268 + ... + 13196.

It is an arithmetic number, because the mean of its divisors is an integer number (3723750).

Almost surely, 2^81735528 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 81735528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119160000).

81735528 is an abundant number, since it is smaller than the sum of its proper divisors (156584472).

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

81735528 is a wasteful number, since it uses less digits than its factorization.

81735528 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9959 (or 9941 counting only the distinct ones).

The product of its digits is 67200, while the sum is 39.

The square root of 81735528 is about 9040.7703211618. The cubic root of 81735528 is about 433.9805749197.

The spelling of 81735528 in words is "eighty-one million, seven hundred thirty-five thousand, five hundred twenty-eight".