1006572 has 48 divisors (see below), whose sum is σ = 2806272. Its totient is φ = 274560.

The previous prime is 1006559. The next prime is 1006583. The reversal of 1006572 is 2756001.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1672 + ... + 2192.

It is an arithmetic number, because the mean of its divisors is an integer number (58464).

2^1006572 is an apocalyptic number.

1006572 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 1006572, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1403136).

1006572 is an abundant number, since it is smaller than the sum of its proper divisors (1799700).

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

1006572 is a wasteful number, since it uses less digits than its factorization.

1006572 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 558 (or 556 counting only the distinct ones).

The product of its (nonzero) digits is 420, while the sum is 21.

The square root of 1006572 is about 1003.2806187702. The cubic root of 1006572 is about 100.2185885092.

The spelling of 1006572 in words is "one million, six thousand, five hundred seventy-two".