72891126 has 108 divisors (see below), whose sum is σ = 202230756. Its totient is φ = 18905040.

The previous prime is 72891103. The next prime is 72891131. The reversal of 72891126 is 62119827.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 106381 + ... + 107063.

It is an arithmetic number, because the mean of its divisors is an integer number (1872507).

Almost surely, 2^72891126 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 72891126, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101115378).

72891126 is an abundant number, since it is smaller than the sum of its proper divisors (129339630).

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

72891126 is a wasteful number, since it uses less digits than its factorization.

72891126 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 727 (or 706 counting only the distinct ones).

The product of its digits is 12096, while the sum is 36.

The square root of 72891126 is about 8537.6299990103. The cubic root of 72891126 is about 417.7260439425.

It can be divided in two parts, 72 and 891126, that added together give a palindrome (891198).

The spelling of 72891126 in words is "seventy-two million, eight hundred ninety-one thousand, one hundred twenty-six".