1072766000 has 80 divisors (see below), whose sum is σ = 2706844608. Its totient is φ = 410432000.

The previous prime is 1072765979. The next prime is 1072766003. The reversal of 1072766000 is 6672701.

It is a tau number, because it is divible by the number of its divisors (80).

It is not an unprimeable number, because it can be changed into a prime (1072766003) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 34340 + ... + 57660.

Almost surely, 2^1072766000 is an apocalyptic number.

1072766000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1072766000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1353422304).

1072766000 is an abundant number, since it is smaller than the sum of its proper divisors (1634078608).

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

1072766000 is a wasteful number, since it uses less digits than its factorization.

1072766000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23367 (or 23351 counting only the distinct ones).

The product of its (nonzero) digits is 3528, while the sum is 29.

The square root of 1072766000 is about 32753.1067228744. The cubic root of 1072766000 is about 1023.6896998847.

The spelling of 1072766000 in words is "one billion, seventy-two million, seven hundred sixty-six thousand".