1072260000 has 720 divisors, whose sum is σ = 4666806144. Its totient is φ = 228096000.

The previous prime is 1072259999. The next prime is 1072260029. The reversal of 1072260000 is 622701.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (720).

It is a super-2 number, since 2×1072260000² = 2299483015200000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

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 119 ways as a sum of consecutive naturals, for example, 28979982 + ... + 28980018.

Almost surely, 2^1072260000 is an apocalyptic number.

1072260000 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 1072260000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2333403072).

1072260000 is an abundant number, since it is smaller than the sum of its proper divisors (3594546144).

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

1072260000 is a wasteful number, since it uses less digits than its factorization.

1072260000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 103 (or 77 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 18.

The square root of 1072260000 is about 32745.3813537115. The cubic root of 1072260000 is about 1023.5287239743.

Adding to 1072260000 its reverse (622701), we get a palindrome (1072882701).

The spelling of 1072260000 in words is "one billion, seventy-two million, two hundred sixty thousand".