72081337 has 4 divisors (see below), whose sum is σ = 72169956. Its totient is φ = 71992720.

The previous prime is 72081329. The next prime is 72081349. The reversal of 72081337 is 73318027.

It is a semiprime because it is the product of two primes, and also an emirpimes, since its reverse is a distinct semiprime: 73318027 = 53 ⋅1383359.

It can be written as a sum of positive squares in 2 ways, for example, as 32592681 + 39488656 = 5709^2 + 6284^2 .

It is a cyclic number.

It is not a de Polignac number, because 72081337 - 2³ = 72081329 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 72081299 and 72081308.

It is not an unprimeable number, because it can be changed into a prime (72081137) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 43078 + ... + 44719.

It is an arithmetic number, because the mean of its divisors is an integer number (18042489).

Almost surely, 2^72081337 is an apocalyptic number.

It is an amenable number.

72081337 is a deficient number, since it is larger than the sum of its proper divisors (88619).

72081337 is an equidigital number, since it uses as much as digits as its factorization.

72081337 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 88618.

The product of its (nonzero) digits is 7056, while the sum is 31.

The square root of 72081337 is about 8490.0728500997. The cubic root of 72081337 is about 416.1733610071.

The spelling of 72081337 in words is "seventy-two million, eighty-one thousand, three hundred thirty-seven".