1072728333 has 16 divisors (see below), whose sum is σ = 1593206400. Its totient is φ = 713361600.

The previous prime is 1072728313. The next prime is 1072728367. The reversal of 1072728333 is 3338272701.

It is not a de Polignac number, because 1072728333 - 2⁶ = 1072728269 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1072728313) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 38713 + ... + 60366.

It is an arithmetic number, because the mean of its divisors is an integer number (99575400).

Almost surely, 2^1072728333 is an apocalyptic number.

It is an amenable number.

1072728333 is a deficient number, since it is larger than the sum of its proper divisors (520478067).

1072728333 is an equidigital number, since it uses as much as digits as its factorization.

1072728333 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 99489 (or 99483 counting only the distinct ones).

The product of its (nonzero) digits is 42336, while the sum is 36.

The square root of 1072728333 is about 32752.5317036714. The cubic root of 1072728333 is about 1023.6777184674.

It can be divided in two parts, 10727 and 28333, that added together give a triangular number (39060 = T₂₇₉).

The spelling of 1072728333 in words is "one billion, seventy-two million, seven hundred twenty-eight thousand, three hundred thirty-three".