10752672 has 48 divisors (see below), whose sum is σ = 32260032. Its totient is φ = 3072000.

The previous prime is 10752671. The next prime is 10752673. The reversal of 10752672 is 27625701.

It is an interprime number because it is at equal distance from previous prime (10752671) and next prime (10752673).

It is a tau number, because it is divible by the number of its divisors (48).

It is not an unprimeable number, because it can be changed into a prime (10752671) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7329 + ... + 8672.

It is an arithmetic number, because the mean of its divisors is an integer number (672084).

Almost surely, 2^10752672 is an apocalyptic number.

10752672 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10752672 is an abundant number, since it is smaller than the sum of its proper divisors (21507360).

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

10752672 is a wasteful number, since it uses less digits than its factorization.

10752672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16021 (or 16013 counting only the distinct ones).

The product of its (nonzero) digits is 5880, while the sum is 30.

The square root of 10752672 is about 3279.1267130137. The cubic root of 10752672 is about 220.7185322217.

It can be divided in two parts, 10752 and 672, that multiplied together give a square (7225344 = 2688²).

The spelling of 10752672 in words is "ten million, seven hundred fifty-two thousand, six hundred seventy-two".