10742733 has 32 divisors (see below), whose sum is σ = 17177600. Its totient is φ = 6613488.

The previous prime is 10742723. The next prime is 10742737. The reversal of 10742733 is 33724701.

It is not a de Polignac number, because 10742733 - 2⁴ = 10742717 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 10742697 and 10742706.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10742737) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 21816 + ... + 22302.

It is an arithmetic number, because the mean of its divisors is an integer number (536800).

Almost surely, 2^10742733 is an apocalyptic number.

It is an amenable number.

10742733 is a deficient number, since it is larger than the sum of its proper divisors (6434867).

10742733 is a wasteful number, since it uses less digits than its factorization.

10742733 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 558 (or 552 counting only the distinct ones).

The product of its (nonzero) digits is 3528, while the sum is 27.

The square root of 10742733 is about 3277.6108676901. The cubic root of 10742733 is about 220.6505057892.

The spelling of 10742733 in words is "ten million, seven hundred forty-two thousand, seven hundred thirty-three".