1072757 has 6 divisors (see below), whose sum is σ = 1247958. Its totient is φ = 919464.

The previous prime is 1072733. The next prime is 1072763. The reversal of 1072757 is 7572701.

It can be written as a sum of positive squares in only one way, i.e., 1002001 + 70756 = 1001^2 + 266^2 .

It is not a de Polignac number, because 1072757 - 2¹⁴ = 1056373 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1072157) 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 5 ways as a sum of consecutive naturals, for example, 10898 + ... + 10995.

It is an arithmetic number, because the mean of its divisors is an integer number (207993).

2^1072757 is an apocalyptic number.

It is an amenable number.

1072757 is a deficient number, since it is larger than the sum of its proper divisors (175201).

1072757 is an equidigital number, since it uses as much as digits as its factorization.

1072757 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21907 (or 21900 counting only the distinct ones).

The product of its (nonzero) digits is 3430, while the sum is 29.

The square root of 1072757 is about 1035.7398321973. The cubic root of 1072757 is about 102.3686837119.

It can be divided in two parts, 107275 and 7, that multiplied together give a triangular number (750925 = T₁₂₂₅).

The spelling of 1072757 in words is "one million, seventy-two thousand, seven hundred fifty-seven".