10733472 has 120 divisors (see below), whose sum is σ = 32656932. Its totient is φ = 3456000.

The previous prime is 10733453. The next prime is 10733483. The reversal of 10733472 is 27433701.

It can be written as a sum of positive squares in 2 ways, for example, as 10732176 + 1296 = 3276^2 + 36^2 .

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 106222 + ... + 106322.

Almost surely, 2^10733472 is an apocalyptic number.

10733472 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10733472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16328466).

10733472 is an abundant number, since it is smaller than the sum of its proper divisors (21923460).

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

10733472 is a wasteful number, since it uses less digits than its factorization.

10733472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 164 (or 147 counting only the distinct ones).

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

The square root of 10733472 is about 3276.1977962266. The cubic root of 10733472 is about 220.5870820834.

The spelling of 10733472 in words is "ten million, seven hundred thirty-three thousand, four hundred seventy-two".