10072116 has 36 divisors (see below), whose sum is σ = 25672192. Its totient is φ = 3329424.

The previous prime is 10072099. The next prime is 10072123. The reversal of 10072116 is 61127001.

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

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3471 + ... + 5673.

Almost surely, 2^10072116 is an apocalyptic number.

It is an amenable number.

10072116 is an abundant number, since it is smaller than the sum of its proper divisors (15600076).

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

10072116 is a wasteful number, since it uses less digits than its factorization.

10072116 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2340 (or 2335 counting only the distinct ones).

The product of its (nonzero) digits is 84, while the sum is 18.

The square root of 10072116 is about 3173.6597171089. The cubic root of 10072116 is about 215.9601263846.

Adding to 10072116 its reverse (61127001), we get a palindrome (71199117).

The spelling of 10072116 in words is "ten million, seventy-two thousand, one hundred sixteen".