825672736 has 72 divisors (see below), whose sum is σ = 1898762796. Its totient is φ = 352396800.

The previous prime is 825672733. The next prime is 825672737. The reversal of 825672736 is 637276528.

It can be written as a sum of positive squares in 2 ways, for example, as 685392400 + 140280336 = 26180^2 + 11844^2 .

It is a super-3 number, since 3×825672736³ (a number of 28 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (825672733) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 433386 + ... + 435286.

Almost surely, 2^825672736 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 825672736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (949381398).

825672736 is an abundant number, since it is smaller than the sum of its proper divisors (1073090060).

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

825672736 is a wasteful number, since it uses less digits than its factorization.

825672736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2202 (or 2187 counting only the distinct ones).

The product of its digits is 846720, while the sum is 46.

The square root of 825672736 is about 28734.5216768959. The cubic root of 825672736 is about 938.1435883252.

The spelling of 825672736 in words is "eight hundred twenty-five million, six hundred seventy-two thousand, seven hundred thirty-six".