1207567872 has 160 divisors (see below), whose sum is σ = 4085452800. Its totient is φ = 344991744.

The previous prime is 1207567849. The next prime is 1207567877. The reversal of 1207567872 is 2787657021.

1207567872 is a `hidden beast` number, since 1 + 2 + 0 + 7 + 567 + 87 + 2 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1207567877) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 90529 + ... + 103007.

It is an arithmetic number, because the mean of its divisors is an integer number (25534080).

Almost surely, 2^1207567872 is an apocalyptic number.

1207567872 is a gapful number since it is divisible by the number (12) 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 1207567872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2042726400).

1207567872 is an abundant number, since it is smaller than the sum of its proper divisors (2877884928).

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

1207567872 is an equidigital number, since it uses as much as digits as its factorization.

1207567872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12513 (or 12491 counting only the distinct ones).

The product of its (nonzero) digits is 329280, while the sum is 45.

The square root of 1207567872 is about 34750.0772948781. The cubic root of 1207567872 is about 1064.8877961537.

The spelling of 1207567872 in words is "one billion, two hundred seven million, five hundred sixty-seven thousand, eight hundred seventy-two".