10180272 has 40 divisors (see below), whose sum is σ = 26516160. Its totient is φ = 3365440.

The previous prime is 10180253. The next prime is 10180277. The reversal of 10180272 is 27208101.

10180272 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (10180277) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5479 + ... + 7097.

It is an arithmetic number, because the mean of its divisors is an integer number (662904).

Almost surely, 2^10180272 is an apocalyptic number.

10180272 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10180272 is an abundant number, since it is smaller than the sum of its proper divisors (16335888).

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

10180272 is a wasteful number, since it uses less digits than its factorization.

10180272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1761 (or 1755 counting only the distinct ones).

The product of its (nonzero) digits is 224, while the sum is 21.

The square root of 10180272 is about 3190.6538514856. The cubic root of 10180272 is about 216.7303807361.

Adding to 10180272 its reverse (27208101), we get a palindrome (37388373).

The spelling of 10180272 in words is "ten million, one hundred eighty thousand, two hundred seventy-two".