10638072 has 48 divisors (see below), whose sum is σ = 29231280. Its totient is φ = 3494400.

The previous prime is 10638049. The next prime is 10638077. The reversal of 10638072 is 27083601.

It is a super-2 number, since 2×10638072² = 226337151754368, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10638077) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4072 + ... + 6152.

It is an arithmetic number, because the mean of its divisors is an integer number (608985).

Almost surely, 2^10638072 is an apocalyptic number.

10638072 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 10638072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14615640).

10638072 is an abundant number, since it is smaller than the sum of its proper divisors (18593208).

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

10638072 is a wasteful number, since it uses less digits than its factorization.

10638072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2164 (or 2157 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 10638072 is about 3261.6057395093. The cubic root of 10638072 is about 219.9316040829.

The spelling of 10638072 in words is "ten million, six hundred thirty-eight thousand, seventy-two".