10972152 has 64 divisors (see below), whose sum is σ = 30912000. Its totient is φ = 3605472.

The previous prime is 10972141. The next prime is 10972153. The reversal of 10972152 is 25127901.

It is a super-2 number, since 2×10972152² = 240776239022208, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10972153) 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, 16743 + ... + 17385.

It is an arithmetic number, because the mean of its divisors is an integer number (483000).

Almost surely, 2^10972152 is an apocalyptic number.

10972152 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 10972152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15456000).

10972152 is an abundant number, since it is smaller than the sum of its proper divisors (19939848).

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

10972152 is a wasteful number, since it uses less digits than its factorization.

10972152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 737 (or 727 counting only the distinct ones).

The product of its (nonzero) digits is 1260, while the sum is 27.

The square root of 10972152 is about 3312.4238859180. The cubic root of 10972152 is about 222.2101734949.

It can be divided in two parts, 1097 and 2152, that added together give a square (3249 = 57²).

The spelling of 10972152 in words is "ten million, nine hundred seventy-two thousand, one hundred fifty-two".