10972752 has 120 divisors (see below), whose sum is σ = 34718016. Its totient is φ = 2924544.

The previous prime is 10972733. The next prime is 10972777. The reversal of 10972752 is 25727901.

10972752 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 97048 + ... + 97160.

Almost surely, 2^10972752 is an apocalyptic number.

10972752 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 10972752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17359008).

10972752 is an abundant number, since it is smaller than the sum of its proper divisors (23745264).

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

10972752 is a wasteful number, since it uses less digits than its factorization.

10972752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 165 (or 142 counting only the distinct ones).

The product of its (nonzero) digits is 8820, while the sum is 33.

The square root of 10972752 is about 3312.5144527987. The cubic root of 10972752 is about 222.2142238603.

The spelling of 10972752 in words is "ten million, nine hundred seventy-two thousand, seven hundred fifty-two".