10064772 has 18 divisors (see below), whose sum is σ = 25441598. Its totient is φ = 3354912.

The previous prime is 10064767. The next prime is 10064773. The reversal of 10064772 is 27746001.

10064772 is a `hidden beast` number, since 10 + 0 + 647 + 7 + 2 = 666.

It can be written as a sum of positive squares in only one way, i.e., 7322436 + 2742336 = 2706^2 + 1656^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is not an unprimeable number, because it can be changed into a prime (10064773) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 139753 + ... + 139824.

Almost surely, 2^10064772 is an apocalyptic number.

10064772 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10064772 is an abundant number, since it is smaller than the sum of its proper divisors (15376826).

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

10064772 is a wasteful number, since it uses less digits than its factorization.

10064772 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 279587 (or 279582 counting only the distinct ones).

The product of its (nonzero) digits is 2352, while the sum is 27.

The square root of 10064772 is about 3172.5024822685. The cubic root of 10064772 is about 215.9076251095.

It can be divided in two parts, 1006 and 4772, that added together give a triangular number (5778 = T₁₀₇).

The spelling of 10064772 in words is "ten million, sixty-four thousand, seven hundred seventy-two".