1072128960 has 560 divisors, whose sum is σ = 4602723840. Its totient is φ = 231413760.

The previous prime is 1072128949. The next prime is 1072128961. The reversal of 1072128960 is 698212701.

It is a tau number, because it is divible by the number of its divisors (560).

It is a super-2 number, since 2×1072128960² = 2298921013741363200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1072128961) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 3447205 + ... + 3447515.

Almost surely, 2^1072128960 is an apocalyptic number.

1072128960 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 1072128960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2301361920).

1072128960 is an abundant number, since it is smaller than the sum of its proper divisors (3530594880).

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

1072128960 is a wasteful number, since it uses less digits than its factorization.

1072128960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 366 (or 347 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 36.

The square root of 1072128960 is about 32743.3803997083. The cubic root of 1072128960 is about 1023.4870274118.

The spelling of 1072128960 in words is "one billion, seventy-two million, one hundred twenty-eight thousand, nine hundred sixty".