82473732 has 72 divisors (see below), whose sum is σ = 240825312. Its totient is φ = 23520000.

The previous prime is 82473731. The next prime is 82473739. The reversal of 82473732 is 23737428.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (82473731) 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, 607 + ... + 12857.

It is an arithmetic number, because the mean of its divisors is an integer number (3344796).

Almost surely, 2^82473732 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 82473732, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120412656).

82473732 is an abundant number, since it is smaller than the sum of its proper divisors (158351580).

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

82473732 is a wasteful number, since it uses less digits than its factorization.

82473732 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12289 (or 12284 counting only the distinct ones).

The product of its digits is 56448, while the sum is 36.

The square root of 82473732 is about 9081.5049413630. The cubic root of 82473732 is about 435.2831766955.

The spelling of 82473732 in words is "eighty-two million, four hundred seventy-three thousand, seven hundred thirty-two".