103572 has 48 divisors (see below), whose sum is σ = 309120. Its totient is φ = 29376.

The previous prime is 103567. The next prime is 103573. The reversal of 103572 is 275301.

It is a super-3 number, since 3×103572³ = 3333099993015744, which contains 333 as substring.

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 (103573) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 688 + ... + 824.

It is an arithmetic number, because the mean of its divisors is an integer number (6440).

2¹⁰³⁵⁷² is an apocalyptic number.

103572 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 103572, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154560).

103572 is an abundant number, since it is smaller than the sum of its proper divisors (205548).

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

103572 is a wasteful number, since it uses less digits than its factorization.

103572 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 157 (or 149 counting only the distinct ones).

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

The square root of 103572 is about 321.8260399657. The cubic root of 103572 is about 46.9620940784.

Adding to 103572 its reverse (275301), we get a palindrome (378873).

The spelling of 103572 in words is "one hundred three thousand, five hundred seventy-two".