1072007280 has 120 divisors (see below), whose sum is σ = 3716369280. Its totient is φ = 276641280.

The previous prime is 1072007239. The next prime is 1072007323. The reversal of 1072007280 is 827002701.

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-2 number, since 2×1072007280² = 2298399216745996800, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1695 + ... + 46334.

It is an arithmetic number, because the mean of its divisors is an integer number (30969744).

Almost surely, 2^1072007280 is an apocalyptic number.

1072007280 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 1072007280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1858184640).

1072007280 is an abundant number, since it is smaller than the sum of its proper divisors (2644362000).

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

1072007280 is a wasteful number, since it uses less digits than its factorization.

1072007280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48079 (or 48070 counting only the distinct ones).

The product of its (nonzero) digits is 1568, while the sum is 27.

The square root of 1072007280 is about 32741.5222614954. The cubic root of 1072007280 is about 1023.4483061330.

Adding to 1072007280 its reverse (827002701), we get a palindrome (1899009981).

The spelling of 1072007280 in words is "one billion, seventy-two million, seven thousand, two hundred eighty".