10767072 has 48 divisors (see below), whose sum is σ = 29756160. Its totient is φ = 3399552.

The previous prime is 10767061. The next prime is 10767073. The reversal of 10767072 is 27076701.

It is a happy number.

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

It is an alternating number because its digits alternate between odd and even.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10767073) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1128 + ... + 4775.

It is an arithmetic number, because the mean of its divisors is an integer number (619920).

Almost surely, 2^10767072 is an apocalyptic number.

10767072 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10767072 is an abundant number, since it is smaller than the sum of its proper divisors (18989088).

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

10767072 is a wasteful number, since it uses less digits than its factorization.

10767072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5935 (or 5927 counting only the distinct ones).

The product of its (nonzero) digits is 4116, while the sum is 30.

The square root of 10767072 is about 3281.3216849312. The cubic root of 10767072 is about 220.8170171720.

The spelling of 10767072 in words is "ten million, seven hundred sixty-seven thousand, seventy-two".