10586772 has 72 divisors (see below), whose sum is σ = 31327296. Its totient is φ = 2951424.

The previous prime is 10586759. The next prime is 10586777. The reversal of 10586772 is 27768501.

10586772 is a `hidden beast` number, since 1 + 0 + 586 + 7 + 72 = 666.

It is a super-2 number, since 2×10586772² = 224159482759968, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10586777) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10348 + ... + 11324.

Almost surely, 2^10586772 is an apocalyptic number.

10586772 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 10586772, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15663648).

10586772 is an abundant number, since it is smaller than the sum of its proper divisors (20740524).

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

10586772 is a wasteful number, since it uses less digits than its factorization.

10586772 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1037 (or 1032 counting only the distinct ones).

The product of its (nonzero) digits is 23520, while the sum is 36.

The square root of 10586772 is about 3253.7320110913. The cubic root of 10586772 is about 219.5775087201.

The spelling of 10586772 in words is "ten million, five hundred eighty-six thousand, seven hundred seventy-two".