13572000 has 288 divisors, whose sum is σ = 53660880. Its totient is φ = 3225600.

The previous prime is 13571977. The next prime is 13572011. The reversal of 13572000 is 27531.

13572000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 144 + 13571856 = 12^2 + 3684^2 .

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 467986 + ... + 468014.

Almost surely, 2^13572000 is an apocalyptic number.

13572000 is a gapful number since it is divisible by the number (10) 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 13572000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26830440).

13572000 is an abundant number, since it is smaller than the sum of its proper divisors (40088880).

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

13572000 is a wasteful number, since it uses less digits than its factorization.

13572000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 73 (or 52 counting only the distinct ones).

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

The square root of 13572000 is about 3684.0195439221. The cubic root of 13572000 is about 238.5327144186.

Adding to 13572000 its reverse (27531), we get a palindrome (13599531).

The spelling of 13572000 in words is "thirteen million, five hundred seventy-two thousand".