10067772 has 48 divisors (see below), whose sum is σ = 27603072. Its totient is φ = 2815680.

The previous prime is 10067753. The next prime is 10067789. The reversal of 10067772 is 27776001.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1218 + ... + 4649.

It is an arithmetic number, because the mean of its divisors is an integer number (575064).

Almost surely, 2^10067772 is an apocalyptic number.

10067772 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10067772 is an abundant number, since it is smaller than the sum of its proper divisors (17535300).

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

10067772 is a wasteful number, since it uses less digits than its factorization.

10067772 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5898 (or 5896 counting only the distinct ones).

The product of its (nonzero) digits is 4116, while the sum is 30.

The square root of 10067772 is about 3172.9752599099. The cubic root of 10067772 is about 215.9290747933.

It can be divided in two parts, 1006 and 7772, that added together give a palindrome (8778).

The spelling of 10067772 in words is "ten million, sixty-seven thousand, seven hundred seventy-two".