1072767042 has 48 divisors (see below), whose sum is σ = 2358158400. Its totient is φ = 352418976.

The previous prime is 1072767041. The next prime is 1072767049. The reversal of 1072767042 is 2407672701.

It is a happy number.

It is a super-3 number, since 3×1072767042³ (a number of 28 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1072766988 and 1072767006.

It is not an unprimeable number, because it can be changed into a prime (1072767041) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 419584 + ... + 422132.

It is an arithmetic number, because the mean of its divisors is an integer number (49128300).

Almost surely, 2^1072767042 is an apocalyptic number.

1072767042 is an abundant number, since it is smaller than the sum of its proper divisors (1285391358).

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

1072767042 is a wasteful number, since it uses less digits than its factorization.

1072767042 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2887 (or 2884 counting only the distinct ones).

The product of its (nonzero) digits is 32928, while the sum is 36.

The square root of 1072767042 is about 32753.1226297585. The cubic root of 1072767042 is about 1023.6900313283.

The spelling of 1072767042 in words is "one billion, seventy-two million, seven hundred sixty-seven thousand, forty-two".