82748736 has 112 divisors (see below), whose sum is σ = 278058880. Its totient is φ = 23639040.

The previous prime is 82748719. The next prime is 82748753. The reversal of 82748736 is 63784728.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (82748719) and next prime (82748753).

It is a tau number, because it is divible by the number of its divisors (112).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 82748691 and 82748700.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8676 + ... + 15516.

Almost surely, 2^82748736 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 82748736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139029440).

82748736 is an abundant number, since it is smaller than the sum of its proper divisors (195310144).

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

82748736 is a wasteful number, since it uses less digits than its factorization.

82748736 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6869 (or 6853 counting only the distinct ones).

The product of its digits is 451584, while the sum is 45.

The square root of 82748736 is about 9096.6332233415. The cubic root of 82748736 is about 435.7664489985.

The spelling of 82748736 in words is "eighty-two million, seven hundred forty-eight thousand, seven hundred thirty-six".