1011072000 has 176 divisors, whose sum is σ = 3364481952. Its totient is φ = 269516800.

The previous prime is 1011071987. The next prime is 1011072047. The reversal of 1011072000 is 2701101.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 382684 + ... + 385316.

Almost surely, 2^1011072000 is an apocalyptic number.

1011072000 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 1011072000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1682240976).

1011072000 is an abundant number, since it is smaller than the sum of its proper divisors (2353409952).

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

1011072000 is an equidigital number, since it uses as much as digits as its factorization.

1011072000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2671 (or 2643 counting only the distinct ones).

The product of its (nonzero) digits is 14, while the sum is 12.

The square root of 1011072000 is about 31797.3583808467. The cubic root of 1011072000 is about 1003.6771288172.

Adding to 1011072000 its reverse (2701101), we get a palindrome (1013773101).

The spelling of 1011072000 in words is "one billion, eleven million, seventy-two thousand".