72421033 has 6 divisors (see below), whose sum is σ = 75005294. Its totient is φ = 69922944.

The previous prime is 72421009. The next prime is 72421067. The reversal of 72421033 is 33012427.

It can be written as a sum of positive squares in 3 ways, for example, as 51984 + 72369049 = 228^2 + 8507^2 .

It is not a de Polignac number, because 72421033 - 2¹⁷ = 72289961 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 72420995 and 72421013.

It is not an unprimeable number, because it can be changed into a prime (72421093) 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 5 ways as a sum of consecutive naturals, for example, 42216 + ... + 43897.

Almost surely, 2^72421033 is an apocalyptic number.

It is an amenable number.

72421033 is a deficient number, since it is larger than the sum of its proper divisors (2584261).

72421033 is an equidigital number, since it uses as much as digits as its factorization.

72421033 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86171 (or 86142 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 22.

The square root of 72421033 is about 8510.0548176848. The cubic root of 72421033 is about 416.8261001243.

The spelling of 72421033 in words is "seventy-two million, four hundred twenty-one thousand, thirty-three".