1012767072 has 48 divisors (see below), whose sum is σ = 2660500080. Its totient is φ = 337336832.

The previous prime is 1012767047. The next prime is 1012767113. The reversal of 1012767072 is 2707672101.

It is a happy number.

1012767072 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 160978 + ... + 167150.

It is an arithmetic number, because the mean of its divisors is an integer number (55427085).

Almost surely, 2^1012767072 is an apocalyptic number.

1012767072 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1012767072 is an abundant number, since it is smaller than the sum of its proper divisors (1647733008).

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

1012767072 is a wasteful number, since it uses less digits than its factorization.

1012767072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7895 (or 7887 counting only the distinct ones).

The product of its (nonzero) digits is 8232, while the sum is 33.

The square root of 1012767072 is about 31824.0015082956. The cubic root of 1012767072 is about 1004.2377071377.

The spelling of 1012767072 in words is "one billion, twelve million, seven hundred sixty-seven thousand, seventy-two".