1072561300 has 36 divisors (see below), whose sum is σ = 2428657056. Its totient is φ = 410370400.

The previous prime is 1072561253. The next prime is 1072561327. The reversal of 1072561300 is 31652701.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 230866 + ... + 235465.

It is an arithmetic number, because the mean of its divisors is an integer number (67462696).

Almost surely, 2^1072561300 is an apocalyptic number.

1072561300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1072561300 is an abundant number, since it is smaller than the sum of its proper divisors (1356095756).

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

1072561300 is a wasteful number, since it uses less digits than its factorization.

1072561300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 466368 (or 466361 counting only the distinct ones).

The product of its (nonzero) digits is 1260, while the sum is 25.

The square root of 1072561300 is about 32749.9816793842. The cubic root of 1072561300 is about 1023.6245839099.

The spelling of 1072561300 in words is "one billion, seventy-two million, five hundred sixty-one thousand, three hundred".