82572791 has 24 divisors (see below), whose sum is σ = 102353760. Its totient is φ = 66613344.

The previous prime is 82572779. The next prime is 82572793. The reversal of 82572791 is 19727528.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is not a de Polignac number, because 82572791 - 2¹⁰ = 82571767 is a prime.

It is a Duffinian number.

Its product of digits (70560) is a multiple of the sum of its prime divisors (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82572793) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4857215 + ... + 4857231.

It is an arithmetic number, because the mean of its divisors is an integer number (4264740).

Almost surely, 2^82572791 is an apocalyptic number.

82572791 is a deficient number, since it is larger than the sum of its proper divisors (19780969).

82572791 is an frugal number, since it uses more digits than its factorization.

82572791 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 86 (or 24 counting only the distinct ones).

The product of its digits is 70560, while the sum is 41.

The square root of 82572791 is about 9086.9571914916. The cubic root of 82572791 is about 435.4573794927.

The spelling of 82572791 in words is "eighty-two million, five hundred seventy-two thousand, seven hundred ninety-one".