1012752 has 60 divisors (see below), whose sum is σ = 3057964. Its totient is φ = 311040.

The previous prime is 1012751. The next prime is 1012763. The reversal of 1012752 is 2572101.

It can be written as a sum of positive squares in 2 ways, for example, as 266256 + 746496 = 516^2 + 864^2 .

It is a super-2 number, since 2×1012752² = 2051333227008, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a nialpdrome in base 16.

It is not an unprimeable number, because it can be changed into a prime (1012751) 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, 1602 + ... + 2142.

2^1012752 is an apocalyptic number.

1012752 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1012752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1528982).

1012752 is an abundant number, since it is smaller than the sum of its proper divisors (2045212).

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

1012752 is a wasteful number, since it uses less digits than its factorization.

1012752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 568 (or 559 counting only the distinct ones).

The product of its (nonzero) digits is 140, while the sum is 18.

The square root of 1012752 is about 1006.3558018912. The cubic root of 1012752 is about 100.4232725424.

Adding to 1012752 its reverse (2572101), we get a palindrome (3584853).

It can be divided in two parts, 1012 and 752, that added together give a square (1764 = 42²).

The spelling of 1012752 in words is "one million, twelve thousand, seven hundred fifty-two".