1072740000 has 240 divisors, whose sum is σ = 3707938080. Its totient is φ = 270720000.

The previous prime is 1072739977. The next prime is 1072740013. The reversal of 1072740000 is 472701.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×1072740000² = 2301542215200000000, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1139530 + ... + 1140470.

It is an arithmetic number, because the mean of its divisors is an integer number (15449742).

Almost surely, 2^1072740000 is an apocalyptic number.

1072740000 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 1072740000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1853969040).

1072740000 is an abundant number, since it is smaller than the sum of its proper divisors (2635198080).

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

1072740000 is an equidigital number, since it uses as much as digits as its factorization.

1072740000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 993 (or 970 counting only the distinct ones).

The product of its (nonzero) digits is 392, while the sum is 21.

The square root of 1072740000 is about 32752.7098115561. The cubic root of 1072740000 is about 1023.6814296290.

The spelling of 1072740000 in words is "one billion, seventy-two million, seven hundred forty thousand".