10762752 has 240 divisors, whose sum is σ = 39184992. Its totient is φ = 2580480.

The previous prime is 10762747. The next prime is 10762783. The reversal of 10762752 is 25726701.

It is a super-2 number, since 2×10762752² = 231673661227008, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 827898 + ... + 827910.

Almost surely, 2^10762752 is an apocalyptic number.

10762752 is a gapful number since it is divisible by the number (12) 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 10762752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19592496).

10762752 is an abundant number, since it is smaller than the sum of its proper divisors (28422240).

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

10762752 is a wasteful number, since it uses less digits than its factorization.

10762752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59 (or 36 counting only the distinct ones).

The product of its (nonzero) digits is 5880, while the sum is 30.

The square root of 10762752 is about 3280.6633475564. The cubic root of 10762752 is about 220.7874809117.

It can be divided in two parts, 1076 and 2752, that added together give a triangular number (3828 = T₈₇).

The spelling of 10762752 in words is "ten million, seven hundred sixty-two thousand, seven hundred fifty-two".