72334405 has 48 divisors (see below), whose sum is σ = 108994032. Its totient is φ = 45619200.

The previous prime is 72334403. The next prime is 72334411. The reversal of 72334405 is 50443327.

It can be written as a sum of positive squares in 8 ways, for example, as 2076481 + 70257924 = 1441^2 + 8382^2 .

It is not a de Polignac number, because 72334405 - 2¹ = 72334403 is a prime.

It is a super-2 number, since 2×72334405² = 10464532293408050, which contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72334403) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 133435 + ... + 133975.

It is an arithmetic number, because the mean of its divisors is an integer number (2270709).

Almost surely, 2^72334405 is an apocalyptic number.

It is an amenable number.

72334405 is a deficient number, since it is larger than the sum of its proper divisors (36659627).

72334405 is a wasteful number, since it uses less digits than its factorization.

72334405 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 598 (or 587 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 28.

The square root of 72334405 is about 8504.9635507743. The cubic root of 72334405 is about 416.6598352658.

The spelling of 72334405 in words is "seventy-two million, three hundred thirty-four thousand, four hundred five".