361572 has 24 divisors (see below), whose sum is σ = 873600. Its totient is φ = 116256.

The previous prime is 361561. The next prime is 361577. The reversal of 361572 is 275163.

361572 is nontrivially palindromic in base 11.

It is a super-2 number, since 2×361572² = 261468622368, which contains 22 as substring.

It is an Ulam number.

It is a nialpdrome in base 13.

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 361572.

It is not an unprimeable number, because it can be changed into a prime (361577) by changing a digit.

361572 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 172 + ... + 867.

It is an arithmetic number, because the mean of its divisors is an integer number (36400).

2³⁶¹⁵⁷² is an apocalyptic number.

It is an amenable number.

361572 is an abundant number, since it is smaller than the sum of its proper divisors (512028).

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

361572 is a wasteful number, since it uses less digits than its factorization.

361572 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1075 (or 1073 counting only the distinct ones).

The product of its digits is 1260, while the sum is 24.

The square root of 361572 is about 601.3085730305. The cubic root of 361572 is about 71.2412608549.

The spelling of 361572 in words is "three hundred sixty-one thousand, five hundred seventy-two".