72541638 has 48 divisors (see below), whose sum is σ = 170666496. Its totient is φ = 22135680.

The previous prime is 72541619. The next prime is 72541657. The reversal of 72541638 is 83614527.

It is an interprime number because it is at equal distance from previous prime (72541619) and next prime (72541657).

It is an alternating number because its digits alternate between odd and even.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 28498 + ... + 30938.

It is an arithmetic number, because the mean of its divisors is an integer number (3555552).

Almost surely, 2^72541638 is an apocalyptic number.

72541638 is a gapful number since it is divisible by the number (78) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 72541638, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85333248).

72541638 is an abundant number, since it is smaller than the sum of its proper divisors (98124858).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

72541638 is a wasteful number, since it uses less digits than its factorization.

72541638 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2589 (or 2586 counting only the distinct ones).

The product of its digits is 40320, while the sum is 36.

The square root of 72541638 is about 8517.1378995529. The cubic root of 72541638 is about 417.0573562912.

The spelling of 72541638 in words is "seventy-two million, five hundred forty-one thousand, six hundred thirty-eight".