72041331 has 16 divisors (see below), whose sum is σ = 103846400. Its totient is φ = 44268768.

The previous prime is 72041327. The next prime is 72041341. The reversal of 72041331 is 13314027.

It is not a de Polignac number, because 72041331 - 2² = 72041327 is a prime.

It is a super-2 number, since 2×72041331² = 10379906744503122, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 72041298 and 72041307.

It is not an unprimeable number, because it can be changed into a prime (72041311) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14971 + ... + 19188.

It is an arithmetic number, because the mean of its divisors is an integer number (6490400).

Almost surely, 2^72041331 is an apocalyptic number.

72041331 is a deficient number, since it is larger than the sum of its proper divisors (31805069).

72041331 is a wasteful number, since it uses less digits than its factorization.

72041331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34218.

The product of its (nonzero) digits is 504, while the sum is 21.

The square root of 72041331 is about 8487.7164773571. The cubic root of 72041331 is about 416.0963530356.

Adding to 72041331 its reverse (13314027), we get a palindrome (85355358).

The spelling of 72041331 in words is "seventy-two million, forty-one thousand, three hundred thirty-one".