82720575 has 144 divisors (see below), whose sum is σ = 184050720. Its totient is φ = 36288000.

The previous prime is 82720571. The next prime is 82720577. The reversal of 82720575 is 57502728.

82720575 is a `hidden beast` number, since 82 + 7 + 2 + 0 + 575 = 666.

It is not a de Polignac number, because 82720575 - 2² = 82720571 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82720571) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1356045 + ... + 1356105.

It is an arithmetic number, because the mean of its divisors is an integer number (1278130).

Almost surely, 2^82720575 is an apocalyptic number.

82720575 is an abundant number, since it is smaller than the sum of its proper divisors (101330145).

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

82720575 is a wasteful number, since it uses less digits than its factorization.

82720575 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 135 (or 117 counting only the distinct ones).

The product of its (nonzero) digits is 39200, while the sum is 36.

The square root of 82720575 is about 9095.0852112556. The cubic root of 82720575 is about 435.7170101313.

The spelling of 82720575 in words is "eighty-two million, seven hundred twenty thousand, five hundred seventy-five".