1072128435 has 32 divisors (see below), whose sum is σ = 1974799872. Its totient is φ = 486531840.

The previous prime is 1072128419. The next prime is 1072128481. The reversal of 1072128435 is 5348212701.

It is not a de Polignac number, because 1072128435 - 2⁴ = 1072128419 is a prime.

It is a super-2 number, since 2×1072128435² = 2298918762271098450, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1072128396 and 1072128405.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 22881 + ... + 51650.

It is an arithmetic number, because the mean of its divisors is an integer number (61712496).

Almost surely, 2^1072128435 is an apocalyptic number.

1072128435 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

1072128435 is a deficient number, since it is larger than the sum of its proper divisors (902671437).

1072128435 is a wasteful number, since it uses less digits than its factorization.

1072128435 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 74683.

The product of its (nonzero) digits is 13440, while the sum is 33.

The square root of 1072128435 is about 32743.3723828197. The cubic root of 1072128435 is about 1023.4868603515.

The spelling of 1072128435 in words is "one billion, seventy-two million, one hundred twenty-eight thousand, four hundred thirty-five".