10009272 has 64 divisors (see below), whose sum is σ = 30804480. Its totient is φ = 2639232.

The previous prime is 10009271. The next prime is 10009273. The reversal of 10009272 is 27290001.

It is a happy number.

10009272 is digitally balanced in base 2 and base 8, because in such bases it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (10009271) and next prime (10009273).

It is a Harshad number since it is a multiple of its sum of digits (21).

10009272 is strictly pandigital in base 8.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10009271) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 108 + ... + 4475.

It is an arithmetic number, because the mean of its divisors is an integer number (481320).

Almost surely, 2^10009272 is an apocalyptic number.

10009272 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 10009272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15402240).

10009272 is an abundant number, since it is smaller than the sum of its proper divisors (20795208).

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

10009272 is a wasteful number, since it uses less digits than its factorization.

10009272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4612 (or 4608 counting only the distinct ones).

The product of its (nonzero) digits is 252, while the sum is 21.

The square root of 10009272 is about 3163.7433524229. The cubic root of 10009272 is about 215.5100348290.

Adding to 10009272 its reverse (27290001), we get a palindrome (37299273).

The spelling of 10009272 in words is "ten million, nine thousand, two hundred seventy-two".