1257082272 has 72 divisors (see below), whose sum is σ = 3785126436. Its totient is φ = 394377216.

The previous prime is 1257082247. The next prime is 1257082283. The reversal of 1257082272 is 2722807521.

1257082272 is a `hidden beast` number, since 1 + 2 + 570 + 82 + 2 + 7 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1233695376 + 23386896 = 35124^2 + 4836^2 .

It is a tau number, because it is divible by the number of its divisors (72).

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

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 123483 + ... + 133274.

Almost surely, 2^1257082272 is an apocalyptic number.

1257082272 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1257082272 is an abundant number, since it is smaller than the sum of its proper divisors (2528044164).

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

1257082272 is a wasteful number, since it uses less digits than its factorization.

1257082272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 256790 (or 256779 counting only the distinct ones).

The product of its (nonzero) digits is 31360, while the sum is 36.

The square root of 1257082272 is about 35455.3560410836. The cubic root of 1257082272 is about 1079.2479538087.

Adding to 1257082272 its reverse (2722807521), we get a palindrome (3979889793).

The spelling of 1257082272 in words is "one billion, two hundred fifty-seven million, eighty-two thousand, two hundred seventy-two".