10980072 has 24 divisors (see below), whose sum is σ = 29737890. Its totient is φ = 3660000.

The previous prime is 10980071. The next prime is 10980089. The reversal of 10980072 is 27008901.

10980072 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 10536516 + 443556 = 3246^2 + 666^2 .

It is a tau number, because it is divible by the number of its divisors (24).

It is a super-2 number, since 2×10980072² = 241123962250368, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10980071) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 76179 + ... + 76322.

Almost surely, 2^10980072 is an apocalyptic number.

10980072 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10980072 is an abundant number, since it is smaller than the sum of its proper divisors (18757818).

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

10980072 is a wasteful number, since it uses less digits than its factorization.

10980072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 152513 (or 152506 counting only the distinct ones).

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

The square root of 10980072 is about 3313.6191694279. The cubic root of 10980072 is about 222.2636264333.

Adding to 10980072 its reverse (27008901), we get a palindrome (37988973).

The spelling of 10980072 in words is "ten million, nine hundred eighty thousand, seventy-two".