10727472 has 60 divisors (see below), whose sum is σ = 32244216. Its totient is φ = 3064320.

The previous prime is 10727471. The next prime is 10727473. The reversal of 10727472 is 27472701.

It is an interprime number because it is at equal distance from previous prime (10727471) and next prime (10727473).

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

It is not an unprimeable number, because it can be changed into a prime (10727471) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 72 + ... + 4632.

Almost surely, 2^10727472 is an apocalyptic number.

10727472 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 10727472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16122108).

10727472 is an abundant number, since it is smaller than the sum of its proper divisors (21516744).

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

10727472 is a wasteful number, since it uses less digits than its factorization.

10727472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4586 (or 4573 counting only the distinct ones).

The product of its (nonzero) digits is 5488, while the sum is 30.

The square root of 10727472 is about 3275.2819725941. The cubic root of 10727472 is about 220.5459717702.

The spelling of 10727472 in words is "ten million, seven hundred twenty-seven thousand, four hundred seventy-two".