10030752 has 72 divisors (see below), whose sum is σ = 29533140. Its totient is φ = 3225600.

The previous prime is 10030751. The next prime is 10030753. The reversal of 10030752 is 25703001.

It is an interprime number because it is at equal distance from previous prime (10030751) and next prime (10030753).

It can be written as a sum of positive squares in 2 ways, for example, as 8785296 + 1245456 = 2964^2 + 1116^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (10030751) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7752 + ... + 8952.

Almost surely, 2^10030752 is an apocalyptic number.

10030752 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 10030752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14766570).

10030752 is an abundant number, since it is smaller than the sum of its proper divisors (19502388).

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

10030752 is a wasteful number, since it uses less digits than its factorization.

10030752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1246 (or 1235 counting only the distinct ones).

The product of its (nonzero) digits is 210, while the sum is 18.

The square root of 10030752 is about 3167.1362458852. The cubic root of 10030752 is about 215.6640869280.

Adding to 10030752 its reverse (25703001), we get a palindrome (35733753).

The spelling of 10030752 in words is "ten million, thirty thousand, seven hundred fifty-two".