1005732 has 72 divisors (see below), whose sum is σ = 3139136. Its totient is φ = 264384.

The previous prime is 1005709. The next prime is 1005751. The reversal of 1005732 is 2375001.

1005732 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1005732² = 2022993711648, which contains 22 as substring.

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

It is an Ulam number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3123 + ... + 3429.

2^1005732 is an apocalyptic number.

1005732 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

1005732 is the 819-th pentagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1005732, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1569568).

1005732 is an abundant number, since it is smaller than the sum of its proper divisors (2133404).

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

1005732 is a wasteful number, since it uses less digits than its factorization.

1005732 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 337 (or 332 counting only the distinct ones).

The product of its (nonzero) digits is 210, while the sum is 18.

The square root of 1005732 is about 1002.8619047506. The cubic root of 1005732 is about 100.1907027601.

It can be divided in two parts, 100 and 5732, that added together give a cube (5832 = 18³).

The spelling of 1005732 in words is "one million, five thousand, seven hundred thirty-two".