82726520 has 64 divisors (see below), whose sum is σ = 193566240. Its totient is φ = 31795200.

The previous prime is 82726519. The next prime is 82726529. The reversal of 82726520 is 2562728.

It is a super-2 number, since 2×82726520² = 13687354222620800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82726529) 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, 119375 + ... + 120065.

Almost surely, 2^82726520 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 82726520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96783120).

82726520 is an abundant number, since it is smaller than the sum of its proper divisors (110839720).

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

82726520 is a wasteful number, since it uses less digits than its factorization.

82726520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 816 (or 812 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 32.

The square root of 82726520 is about 9095.4120302491. The cubic root of 82726520 is about 435.7274479842.

The spelling of 82726520 in words is "eighty-two million, seven hundred twenty-six thousand, five hundred twenty".