82757472 has 144 divisors (see below), whose sum is σ = 257230512. Its totient is φ = 23224320.

The previous prime is 82757449. The next prime is 82757497. The reversal of 82757472 is 27475728.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 343272 + ... + 343512.

It is an arithmetic number, because the mean of its divisors is an integer number (1786323).

Almost surely, 2^82757472 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 82757472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128615256).

82757472 is an abundant number, since it is smaller than the sum of its proper divisors (174473040).

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

82757472 is a wasteful number, since it uses less digits than its factorization.

82757472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 341 (or 326 counting only the distinct ones).

The product of its digits is 219520, while the sum is 42.

The square root of 82757472 is about 9097.1133883227. The cubic root of 82757472 is about 435.7817834593.

The spelling of 82757472 in words is "eighty-two million, seven hundred fifty-seven thousand, four hundred seventy-two".