1572 has 12 divisors (see below), whose sum is σ = 3696. Its totient is φ = 520.

The previous prime is 1571. The next prime is 1579. The reversal of 1572 is 2751.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (12).

It is a plaindrome in base 11.

It is a zygodrome in base 11.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 1572.

It is not an unprimeable number, because it can be changed into a prime (1571) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 54 + ... + 77.

It is an arithmetic number, because the mean of its divisors is an integer number (308).

2¹⁵⁷² is an apocalyptic number.

1572 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1572 is an abundant number, since it is smaller than the sum of its proper divisors (2124).

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1848).

1572 is a wasteful number, since it uses less digits than its factorization.

1572 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 138 (or 136 counting only the distinct ones).

The product of its digits is 70, while the sum is 15.

The square root of 1572 is about 39.6484552032. The cubic root of 1572 is about 11.6274419659.

The spelling of 1572 in words is "one thousand, five hundred seventy-two".