10007772 has 24 divisors (see below), whose sum is σ = 23922192. Its totient is φ = 3254400.

The previous prime is 10007771. The next prime is 10007773. The reversal of 10007772 is 27770001.

10007772 is digitally balanced in base 2 and base 4, 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 (10007771) and next prime (10007773).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10007771) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9679 + ... + 10662.

It is an arithmetic number, because the mean of its divisors is an integer number (996758).

Almost surely, 2^10007772 is an apocalyptic number.

10007772 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10007772 is an abundant number, since it is smaller than the sum of its proper divisors (13914420).

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

10007772 is a wasteful number, since it uses less digits than its factorization.

10007772 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20389 (or 20387 counting only the distinct ones).

The product of its (nonzero) digits is 686, while the sum is 24.

The square root of 10007772 is about 3163.5062825921. The cubic root of 10007772 is about 215.4992687712.

Adding to 10007772 its reverse (27770001), we get a palindrome (37777773).

The spelling of 10007772 in words is "ten million, seven thousand, seven hundred seventy-two".