785527272 has 48 divisors (see below), whose sum is σ = 2153118240. Its totient is φ = 258685728.

The previous prime is 785527247. The next prime is 785527277. The reversal of 785527272 is 272725587.

785527272 is a `hidden beast` number, since 78 + 552 + 7 + 27 + 2 = 666.

785527272 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (785527277) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 59748 + ... + 71699.

It is an arithmetic number, because the mean of its divisors is an integer number (44856630).

Almost surely, 2^785527272 is an apocalyptic number.

785527272 is a gapful number since it is divisible by the number (72) formed by its first and last digit.

It is an amenable number.

785527272 is an abundant number, since it is smaller than the sum of its proper divisors (1367590968).

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

785527272 is a wasteful number, since it uses less digits than its factorization.

785527272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131542 (or 131535 counting only the distinct ones).

The product of its digits is 548800, while the sum is 45.

The square root of 785527272 is about 28027.2594450474. The cubic root of 785527272 is about 922.6856277033.

The spelling of 785527272 in words is "seven hundred eighty-five million, five hundred twenty-seven thousand, two hundred seventy-two".