82769472 has 112 divisors (see below), whose sum is σ = 256235200. Its totient is φ = 26127360.

The previous prime is 82769471. The next prime is 82769483. The reversal of 82769472 is 27496728.

It is not an unprimeable number, because it can be changed into a prime (82769471) 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, 31572 + ... + 34092.

Almost surely, 2^82769472 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 82769472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128117600).

82769472 is an abundant number, since it is smaller than the sum of its proper divisors (173465728).

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

82769472 is a wasteful number, since it uses less digits than its factorization.

82769472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2561 (or 2545 counting only the distinct ones).

The product of its digits is 338688, while the sum is 45.

The square root of 82769472 is about 9097.7729142906. The cubic root of 82769472 is about 435.8028455199.

The spelling of 82769472 in words is "eighty-two million, seven hundred sixty-nine thousand, four hundred seventy-two".