10181472 has 96 divisors (see below), whose sum is σ = 31046400. Its totient is φ = 2861568.

The previous prime is 10181467. The next prime is 10181539. The reversal of 10181472 is 27418101.

10181472 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an alternating number because its digits alternate between odd and even.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 73179 + ... + 73317.

It is an arithmetic number, because the mean of its divisors is an integer number (323400).

Almost surely, 2^10181472 is an apocalyptic number.

10181472 is a gapful number since it is divisible by the number (12) 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 10181472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15523200).

10181472 is an abundant number, since it is smaller than the sum of its proper divisors (20864928).

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

10181472 is a wasteful number, since it uses less digits than its factorization.

10181472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 268 (or 260 counting only the distinct ones).

The product of its (nonzero) digits is 448, while the sum is 24.

The square root of 10181472 is about 3190.8418951744. The cubic root of 10181472 is about 216.7388961025.

Adding to 10181472 its reverse (27418101), we get a palindrome (37599573).

The spelling of 10181472 in words is "ten million, one hundred eighty-one thousand, four hundred seventy-two".