10462752 has 72 divisors (see below), whose sum is σ = 31518396. Its totient is φ = 3280896.

The previous prime is 10462747. The next prime is 10462757. The reversal of 10462752 is 25726401.

It is an interprime number because it is at equal distance from previous prime (10462747) and next prime (10462757).

It can be written as a sum of positive squares in 2 ways, for example, as 10265616 + 197136 = 3204^2 + 444^2 .

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

It is not an unprimeable number, because it can be changed into a prime (10462757) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 3828 + ... + 5964.

Almost surely, 2^10462752 is an apocalyptic number.

10462752 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 10462752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15759198).

10462752 is an abundant number, since it is smaller than the sum of its proper divisors (21055644).

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

10462752 is a wasteful number, since it uses less digits than its factorization.

10462752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2170 (or 2159 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 10462752 is about 3234.6177517599. The cubic root of 10462752 is about 218.7167163510.

The spelling of 10462752 in words is "ten million, four hundred sixty-two thousand, seven hundred fifty-two".