1087752 has 32 divisors (see below), whose sum is σ = 2767680. Its totient is φ = 356160.

The previous prime is 1087747. The next prime is 1087753. The reversal of 1087752 is 2577801.

It is a happy number.

It is a Smith number, since the sum of its digits (30) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (1087753) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1093 + ... + 1835.

It is an arithmetic number, because the mean of its divisors is an integer number (86490).

2^1087752 is an apocalyptic number.

1087752 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 1087752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1383840).

1087752 is an abundant number, since it is smaller than the sum of its proper divisors (1679928).

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

1087752 is a wasteful number, since it uses less digits than its factorization.

1087752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 813 (or 809 counting only the distinct ones).

The product of its (nonzero) digits is 3920, while the sum is 30.

The square root of 1087752 is about 1042.9534984840. The cubic root of 1087752 is about 102.8434483531.

The spelling of 1087752 in words is "one million, eighty-seven thousand, seven hundred fifty-two".