10978272 has 36 divisors (see below), whose sum is σ = 31220280. Its totient is φ = 3659328.

The previous prime is 10978267. The next prime is 10978301. The reversal of 10978272 is 27287901.

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×10978272² = 241044912211968, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

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 5 ways as a sum of consecutive naturals, for example, 18772 + ... + 19347.

It is an arithmetic number, because the mean of its divisors is an integer number (867230).

Almost surely, 2^10978272 is an apocalyptic number.

10978272 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10978272 is an abundant number, since it is smaller than the sum of its proper divisors (20242008).

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

10978272 is a wasteful number, since it uses less digits than its factorization.

10978272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38135 (or 38124 counting only the distinct ones).

The product of its (nonzero) digits is 14112, while the sum is 36.

The square root of 10978272 is about 3313.3475519480. The cubic root of 10978272 is about 222.2514802958.

The spelling of 10978272 in words is "ten million, nine hundred seventy-eight thousand, two hundred seventy-two".