1057752 has 64 divisors (see below), whose sum is σ = 3024000. Its totient is φ = 342432.

The previous prime is 1057741. The next prime is 1057753. The reversal of 1057752 is 2577501.

It is a super-2 number, since 2×1057752² = 2237678587008, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1057753) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12703 + ... + 12785.

It is an arithmetic number, because the mean of its divisors is an integer number (47250).

2^1057752 is an apocalyptic number.

1057752 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 1057752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1512000).

1057752 is an abundant number, since it is smaller than the sum of its proper divisors (1966248).

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

1057752 is a wasteful number, since it uses less digits than its factorization.

1057752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 157 (or 147 counting only the distinct ones).

The product of its (nonzero) digits is 2450, while the sum is 27.

The square root of 1057752 is about 1028.4707093544. The cubic root of 1057752 is about 101.8891529386.

The spelling of 1057752 in words is "one million, fifty-seven thousand, seven hundred fifty-two".