10752480 has 192 divisors, whose sum is σ = 39916800. Its totient is φ = 2695680.

The previous prime is 10752463. The next prime is 10752503. The reversal of 10752480 is 8425701.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 82015 + ... + 82145.

It is an arithmetic number, because the mean of its divisors is an integer number (207900).

Almost surely, 2^10752480 is an apocalyptic number.

10752480 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 10752480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19958400).

10752480 is an abundant number, since it is smaller than the sum of its proper divisors (29164320).

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

10752480 is a wasteful number, since it uses less digits than its factorization.

10752480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 174 (or 160 counting only the distinct ones).

The product of its (nonzero) digits is 2240, while the sum is 27.

The square root of 10752480 is about 3279.0974367957. The cubic root of 10752480 is about 220.7172184952.

The spelling of 10752480 in words is "ten million, seven hundred fifty-two thousand, four hundred eighty".