72011610944 has 112 divisors (see below), whose sum is σ = 175982059008. Its totient is φ = 28470693888.

The previous prime is 72011610899. The next prime is 72011610949. The reversal of 72011610944 is 44901611027.

It is a tau number, because it is divible by the number of its divisors (112).

It is a super-2 number, since 2×72011610944² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72011610949) 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, 13934249 + ... + 13939415.

It is an arithmetic number, because the mean of its divisors is an integer number (1571268384).

Almost surely, 2^72011610944 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 72011610944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87991029504).

72011610944 is an abundant number, since it is smaller than the sum of its proper divisors (103970448064).

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

72011610944 is a wasteful number, since it uses less digits than its factorization.

72011610944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7592 (or 7582 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 35.

The spelling of 72011610944 in words is "seventy-two billion, eleven million, six hundred ten thousand, nine hundred forty-four".