10752000 has 208 divisors, whose sum is σ = 40889472. Its totient is φ = 2457600.

The previous prime is 10751987. The next prime is 10752023. The reversal of 10752000 is 25701.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a nialpdrome in base 16.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1535997 + ... + 1536003.

It is an arithmetic number, because the mean of its divisors is an integer number (196584).

Almost surely, 2^10752000 is an apocalyptic number.

10752000 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 10752000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20444736).

10752000 is an abundant number, since it is smaller than the sum of its proper divisors (30137472).

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

10752000 is an frugal number, since it uses more digits than its factorization.

10752000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 49 (or 17 counting only the distinct ones).

The product of its (nonzero) digits is 70, while the sum is 15.

The square root of 10752000 is about 3279.0242451071. The cubic root of 10752000 is about 220.7139341105.

Adding to 10752000 its reverse (25701), we get a palindrome (10777701).

The spelling of 10752000 in words is "ten million, seven hundred fifty-two thousand".