1072735140 has 48 divisors (see below), whose sum is σ = 3033414720. Its totient is φ = 283228800.

The previous prime is 1072735127. The next prime is 1072735177. The reversal of 1072735140 is 415372701.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 1072735098 and 1072735107.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 82450 + ... + 94569.

It is an arithmetic number, because the mean of its divisors is an integer number (63196140).

Almost surely, 2^1072735140 is an apocalyptic number.

1072735140 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1072735140 is an abundant number, since it is smaller than the sum of its proper divisors (1960679580).

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

1072735140 is a wasteful number, since it uses less digits than its factorization.

1072735140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 177132 (or 177130 counting only the distinct ones).

The product of its (nonzero) digits is 5880, while the sum is 30.

The square root of 1072735140 is about 32752.6356191376. The cubic root of 1072735140 is about 1023.6798837126.

The spelling of 1072735140 in words is "one billion, seventy-two million, seven hundred thirty-five thousand, one hundred forty".