10972800 has 192 divisors, whose sum is σ = 40473600. Its totient is φ = 2903040.

The previous prime is 10972777. The next prime is 10972813. The reversal of 10972800 is 827901.

It is a tau number, because it is divible by the number of its divisors (192).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 86337 + ... + 86463.

It is an arithmetic number, because the mean of its divisors is an integer number (210800).

Almost surely, 2^10972800 is an apocalyptic number.

10972800 is a gapful number since it is divisible by the number (10) 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 10972800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20236800).

10972800 is an abundant number, since it is smaller than the sum of its proper divisors (29500800).

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

10972800 is a wasteful number, since it uses less digits than its factorization.

10972800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 160 (or 137 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 27.

The square root of 10972800 is about 3312.5216980421. The cubic root of 10972800 is about 222.2145478831.

The spelling of 10972800 in words is "ten million, nine hundred seventy-two thousand, eight hundred".