72611728 has 80 divisors (see below), whose sum is σ = 166953600. Its totient is φ = 30576000.

The previous prime is 72611681. The next prime is 72611729. The reversal of 72611728 is 82711627.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 72611693 and 72611702.

It is not an unprimeable number, because it can be changed into a prime (72611729) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 554223 + ... + 554353.

It is an arithmetic number, because the mean of its divisors is an integer number (2086920).

Almost surely, 2^72611728 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 72611728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83476800).

72611728 is an abundant number, since it is smaller than the sum of its proper divisors (94341872).

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

72611728 is a wasteful number, since it uses less digits than its factorization.

72611728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 261 (or 241 counting only the distinct ones).

The product of its digits is 9408, while the sum is 34.

The square root of 72611728 is about 8521.2515512687. The cubic root of 72611728 is about 417.1916338427.

The spelling of 72611728 in words is "seventy-two million, six hundred eleven thousand, seven hundred twenty-eight".