10937472 has 128 divisors (see below), whose sum is σ = 35871360. Its totient is φ = 2875392.

The previous prime is 10937461. The next prime is 10937497. The reversal of 10937472 is 27473901.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-3 number, since 3×10937472³ (a number of 22 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 34788 + ... + 35100.

It is an arithmetic number, because the mean of its divisors is an integer number (280245).

Almost surely, 2^10937472 is an apocalyptic number.

10937472 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 10937472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17935680).

10937472 is an abundant number, since it is smaller than the sum of its proper divisors (24933888).

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

10937472 is a wasteful number, since it uses less digits than its factorization.

10937472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 350 (or 338 counting only the distinct ones).

The product of its (nonzero) digits is 10584, while the sum is 33.

The square root of 10937472 is about 3307.1849056259. The cubic root of 10937472 is about 221.9758110160.

The spelling of 10937472 in words is "ten million, nine hundred thirty-seven thousand, four hundred seventy-two".