1072845000 has 240 divisors, whose sum is σ = 3769605840. Its totient is φ = 285768000.

The previous prime is 1072844989. The next prime is 1072845029. The reversal of 1072845000 is 5482701.

1072845000 is a `hidden beast` number, since 10 + 72 + 84 + 500 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 1214559 + ... + 1215441.

It is an arithmetic number, because the mean of its divisors is an integer number (15706691).

Almost surely, 2^1072845000 is an apocalyptic number.

1072845000 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 1072845000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1884802920).

1072845000 is an abundant number, since it is smaller than the sum of its proper divisors (2696760840).

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

1072845000 is an frugal number, since it uses more digits than its factorization.

1072845000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 924 (or 893 counting only the distinct ones).

The product of its (nonzero) digits is 2240, while the sum is 27.

The square root of 1072845000 is about 32754.3126931401. The cubic root of 1072845000 is about 1023.7148279186.

The spelling of 1072845000 in words is "one billion, seventy-two million, eight hundred forty-five thousand".