10072752 has 40 divisors (see below), whose sum is σ = 26193264. Its totient is φ = 3335424.

The previous prime is 10072729. The next prime is 10072817. The reversal of 10072752 is 25727001.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 7698 + ... + 8910.

Almost surely, 2^10072752 is an apocalyptic number.

10072752 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10072752 is an abundant number, since it is smaller than the sum of its proper divisors (16120512).

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

10072752 is a wasteful number, since it uses less digits than its factorization.

10072752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1397 (or 1391 counting only the distinct ones).

The product of its (nonzero) digits is 980, while the sum is 24.

The square root of 10072752 is about 3173.7599153055. The cubic root of 10072752 is about 215.9646718628.

Adding to 10072752 its reverse (25727001), we get a palindrome (35799753).

The spelling of 10072752 in words is "ten million, seventy-two thousand, seven hundred fifty-two".