72262541 has 12 divisors (see below), whose sum is σ = 80164980. Its totient is φ = 65070720.

The previous prime is 72262537. The next prime is 72262543. The reversal of 72262541 is 14526227.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 7540516 + 64722025 = 2746^2 + 8045^2 .

It is not a de Polignac number, because 72262541 - 2² = 72262537 is a prime.

It is a Smith number, since the sum of its digits (29) coincides with the sum of the digits of its prime factors.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72262543) 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 11 ways as a sum of consecutive naturals, for example, 1715 + ... + 12143.

It is an arithmetic number, because the mean of its divisors is an integer number (6680415).

Almost surely, 2^72262541 is an apocalyptic number.

It is an amenable number.

72262541 is a deficient number, since it is larger than the sum of its proper divisors (7902439).

72262541 is a wasteful number, since it uses less digits than its factorization.

72262541 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10496 (or 10483 counting only the distinct ones).

The product of its digits is 6720, while the sum is 29.

The square root of 72262541 is about 8500.7376738728. The cubic root of 72262541 is about 416.5218061406.

Adding to 72262541 its reverse (14526227), we get a palindrome (86788768).

The spelling of 72262541 in words is "seventy-two million, two hundred sixty-two thousand, five hundred forty-one".