10132752 has 80 divisors (see below), whose sum is σ = 30533760. Its totient is φ = 2835456.

The previous prime is 10132751. The next prime is 10132763. The reversal of 10132752 is 25723101.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10132751) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 17524 + ... + 18092.

It is an arithmetic number, because the mean of its divisors is an integer number (381672).

Almost surely, 2^10132752 is an apocalyptic number.

10132752 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 10132752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15266880).

10132752 is an abundant number, since it is smaller than the sum of its proper divisors (20401008).

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

10132752 is a wasteful number, since it uses less digits than its factorization.

10132752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 640 (or 634 counting only the distinct ones).

The product of its (nonzero) digits is 420, while the sum is 21.

The square root of 10132752 is about 3183.1983915553. The cubic root of 10132752 is about 216.3926329118.

Adding to 10132752 its reverse (25723101), we get a palindrome (35855853).

The spelling of 10132752 in words is "ten million, one hundred thirty-two thousand, seven hundred fifty-two".