10712720 has 40 divisors (see below), whose sum is σ = 26375544. Its totient is φ = 4032512.

The previous prime is 10712717. The next prime is 10712729. The reversal of 10712720 is 2721701.

It can be written as a sum of positive squares in 4 ways, for example, as 802816 + 9909904 = 896^2 + 3148^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×10712720² = 229524739596800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 10712692 and 10712701.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10712729) 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 7 ways as a sum of consecutive naturals, for example, 2579 + ... + 5298.

Almost surely, 2^10712720 is an apocalyptic number.

10712720 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10712720 is an abundant number, since it is smaller than the sum of its proper divisors (15662824).

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

10712720 is a wasteful number, since it uses less digits than its factorization.

10712720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7907 (or 7901 counting only the distinct ones).

The product of its (nonzero) digits is 196, while the sum is 20.

The square root of 10712720 is about 3273.0291779940. The cubic root of 10712720 is about 220.4448299953. Note that the first 3 decimals are identical.

It can be divided in two parts, 10 and 712720, that multiplied together give a triangular number (7127200 = T₃₇₇₅).

The spelling of 10712720 in words is "ten million, seven hundred twelve thousand, seven hundred twenty".