1072735132 has 48 divisors (see below), whose sum is σ = 2166151680. Its totient is φ = 455337792.

The previous prime is 1072735127. The next prime is 1072735177. The reversal of 1072735132 is 2315372701.

It is a junction number, because it is equal to n+sod(n) for n = 1072735094 and 1072735103.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2421303 + ... + 2421745.

It is an arithmetic number, because the mean of its divisors is an integer number (45128160).

Almost surely, 2^1072735132 is an apocalyptic number.

It is an amenable number.

1072735132 is an abundant number, since it is smaller than the sum of its proper divisors (1093416548).

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

1072735132 is a wasteful number, since it uses less digits than its factorization.

1072735132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1090 (or 1088 counting only the distinct ones).

The product of its (nonzero) digits is 8820, while the sum is 31.

The square root of 1072735132 is about 32752.6354970100. The cubic root of 1072735132 is about 1023.6798811678.

The spelling of 1072735132 in words is "one billion, seventy-two million, seven hundred thirty-five thousand, one hundred thirty-two".