1072875300 has 288 divisors, whose sum is σ = 3733094400. Its totient is φ = 232727040.

The previous prime is 1072875289. The next prime is 1072875313. The reversal of 1072875300 is 35782701.

It is a super-2 number, since 2×1072875300² = 2302122818700180000, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4810989 + ... + 4811211.

Almost surely, 2^1072875300 is an apocalyptic number.

1072875300 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 1072875300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1866547200).

1072875300 is an abundant number, since it is smaller than the sum of its proper divisors (2660219100).

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

1072875300 is a wasteful number, since it uses less digits than its factorization.

1072875300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 355 (or 348 counting only the distinct ones).

The product of its (nonzero) digits is 11760, while the sum is 33.

The square root of 1072875300 is about 32754.7752243852. The cubic root of 1072875300 is about 1023.7244653055.

The spelling of 1072875300 in words is "one billion, seventy-two million, eight hundred seventy-five thousand, three hundred".