1075672720 has 160 divisors (see below), whose sum is σ = 2699827200. Its totient is φ = 397824000.

The previous prime is 1075672711. The next prime is 1075672721. The reversal of 1075672720 is 272765701.

It is a self number, because there is not a number n which added to its sum of digits gives 1075672720.

It is not an unprimeable number, because it can be changed into a prime (1075672721) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7219206 + ... + 7219354.

It is an arithmetic number, because the mean of its divisors is an integer number (16873920).

Almost surely, 2^1075672720 is an apocalyptic number.

1075672720 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 1075672720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1349913600).

1075672720 is an abundant number, since it is smaller than the sum of its proper divisors (1624154480).

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

1075672720 is a wasteful number, since it uses less digits than its factorization.

1075672720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 305 (or 299 counting only the distinct ones).

The product of its (nonzero) digits is 41160, while the sum is 37.

The square root of 1075672720 is about 32797.4499008688. The cubic root of 1075672720 is about 1024.6134477361.

The spelling of 1075672720 in words is "one billion, seventy-five million, six hundred seventy-two thousand, seven hundred twenty".