82292736 has 104 divisors (see below), whose sum is σ = 226595824. Its totient is φ = 26542080.

The previous prime is 82292687. The next prime is 82292747. The reversal of 82292736 is 63729228.

It is a junction number, because it is equal to n+sod(n) for n = 82292694 and 82292703.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 454566 + ... + 454746.

It is an arithmetic number, because the mean of its divisors is an integer number (2178806).

Almost surely, 2^82292736 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 82292736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113297912).

82292736 is an abundant number, since it is smaller than the sum of its proper divisors (144303088).

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

82292736 is a wasteful number, since it uses less digits than its factorization.

82292736 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 245 (or 223 counting only the distinct ones).

The product of its digits is 72576, while the sum is 39.

The square root of 82292736 is about 9071.5343795854. The cubic root of 82292736 is about 434.9645208215.

It can be divided in two parts, 82292 and 736, that added together give a triangular number (83028 = T₄₀₇).

The spelling of 82292736 in words is "eighty-two million, two hundred ninety-two thousand, seven hundred thirty-six".