82072700 has 36 divisors (see below), whose sum is σ = 179071872. Its totient is φ = 32649600.

The previous prime is 82072699. The next prime is 82072703. The reversal of 82072700 is 727028.

It is a self number, because there is not a number n which added to its sum of digits gives 82072700.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82072703) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 16952 + ... + 21248.

Almost surely, 2^82072700 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 82072700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89535936).

82072700 is an abundant number, since it is smaller than the sum of its proper divisors (96999172).

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

82072700 is a wasteful number, since it uses less digits than its factorization.

82072700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4502 (or 4495 counting only the distinct ones).

The product of its (nonzero) digits is 1568, while the sum is 26.

The square root of 82072700 is about 9059.3984347748. The cubic root of 82072700 is about 434.5765024424.

Adding to 82072700 its reverse (727028), we get a palindrome (82799728).

The spelling of 82072700 in words is "eighty-two million, seventy-two thousand, seven hundred".