72538416 has 90 divisors (see below), whose sum is σ = 211109132. Its totient is φ = 24144480.

The previous prime is 72538399. The next prime is 72538441. The reversal of 72538416 is 61483527.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 104631 + ... + 105321.

Almost surely, 2^72538416 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 72538416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105554566).

72538416 is an abundant number, since it is smaller than the sum of its proper divisors (138570716).

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

72538416 is an frugal number, since it uses more digits than its factorization.

72538416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 723 (or 696 counting only the distinct ones).

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

The square root of 72538416 is about 8516.9487494055. The cubic root of 72538416 is about 417.0511815446.

The spelling of 72538416 in words is "seventy-two million, five hundred thirty-eight thousand, four hundred sixteen".