827516272 has 40 divisors (see below), whose sum is σ = 1841132160. Its totient is φ = 356345280.

The previous prime is 827516269. The next prime is 827516297. The reversal of 827516272 is 272615728.

It is a happy number.

It is a hoax number, since the sum of its digits (40) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 120388 + ... + 127075.

It is an arithmetic number, because the mean of its divisors is an integer number (46028304).

Almost surely, 2^827516272 is an apocalyptic number.

It is an amenable number.

827516272 is an abundant number, since it is smaller than the sum of its proper divisors (1013615888).

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

827516272 is a wasteful number, since it uses less digits than its factorization.

827516272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 247501 (or 247495 counting only the distinct ones).

The product of its digits is 94080, while the sum is 40.

The square root of 827516272 is about 28766.5825568488. The cubic root of 827516272 is about 938.8412884369.

The spelling of 827516272 in words is "eight hundred twenty-seven million, five hundred sixteen thousand, two hundred seventy-two".