13752000 has 168 divisors, whose sum is σ = 49450752. Its totient is φ = 3648000.

The previous prime is 13751993. The next prime is 13752001. The reversal of 13752000 is 25731.

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

It is not an unprimeable number, because it can be changed into a prime (13752001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 71905 + ... + 72095.

Almost surely, 2^13752000 is an apocalyptic number.

13752000 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 13752000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24725376).

13752000 is an abundant number, since it is smaller than the sum of its proper divisors (35698752).

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

13752000 is a wasteful number, since it uses less digits than its factorization.

13752000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 224 (or 201 counting only the distinct ones).

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

The square root of 13752000 is about 3708.3689136870. The cubic root of 13752000 is about 239.5826078533.

Adding to 13752000 its reverse (25731), we get a palindrome (13777731).

It can be divided in two parts, 1375 and 2000, that added together give a cube (3375 = 15³).

The spelling of 13752000 in words is "thirteen million, seven hundred fifty-two thousand".