40572 has 54 divisors (see below), whose sum is σ = 124488. Its totient is φ = 11088.

The previous prime is 40559. The next prime is 40577. The reversal of 40572 is 27504.

It is a happy number.

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 (40577) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 1753 + ... + 1775.

2⁴⁰⁵⁷² is an apocalyptic number.

40572 is a gapful number since it is divisible by the number (42) 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 40572, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62244).

40572 is an abundant number, since it is smaller than the sum of its proper divisors (83916).

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

40572 is a wasteful number, since it uses less digits than its factorization.

40572 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47 (or 35 counting only the distinct ones).

The product of its (nonzero) digits is 280, while the sum is 18.

The square root of 40572 is about 201.4249239791. The cubic root of 40572 is about 34.3617657044.

The spelling of 40572 in words is "forty thousand, five hundred seventy-two".