73271633 has 8 divisors (see below), whose sum is σ = 76090056. Its totient is φ = 70502400.

The previous prime is 73271621. The next prime is 73271641. The reversal of 73271633 is 33617237.

It can be written as a sum of positive squares in 4 ways, for example, as 2845969 + 70425664 = 1687^2 + 8392^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 73271633 - 2⁴ = 73271617 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 73271633.

It is not an unprimeable number, because it can be changed into a prime (73271533) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 9248 + ... + 15233.

It is an arithmetic number, because the mean of its divisors is an integer number (9511257).

Almost surely, 2^73271633 is an apocalyptic number.

73271633 is a gapful number since it is divisible by the number (73) formed by its first and last digit.

It is an amenable number.

73271633 is a deficient number, since it is larger than the sum of its proper divisors (2818423).

73271633 is a wasteful number, since it uses less digits than its factorization.

73271633 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24595.

The product of its digits is 15876, while the sum is 32.

The square root of 73271633 is about 8559.8851043691. The cubic root of 73271633 is about 418.4516553749.

It can be divided in two parts, 73 and 271633, that multiplied together give a square (19829209 = 4453²).

The spelling of 73271633 in words is "seventy-three million, two hundred seventy-one thousand, six hundred thirty-three".