1005372 has 60 divisors (see below), whose sum is σ = 2744280. Its totient is φ = 320544.

The previous prime is 1005371. The next prime is 1005373. The reversal of 1005372 is 2735001.

It is an interprime number because it is at equal distance from previous prime (1005371) and next prime (1005373).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1005371) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 9343 + ... + 9449.

It is an arithmetic number, because the mean of its divisors is an integer number (45738).

2^1005372 is an apocalyptic number.

1005372 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 1005372, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1372140).

1005372 is an abundant number, since it is smaller than the sum of its proper divisors (1738908).

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

1005372 is a wasteful number, since it uses less digits than its factorization.

1005372 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 152 (or 141 counting only the distinct ones).

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

The square root of 1005372 is about 1002.6824023588. The cubic root of 1005372 is about 100.1787469715.

The spelling of 1005372 in words is "one million, five thousand, three hundred seventy-two".