72261427072 has 64 divisors (see below), whose sum is σ = 147516969600. Its totient is φ = 35239970304.

The previous prime is 72261427039. The next prime is 72261427079. The reversal of 72261427072 is 27072416227.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72261427079) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3992379 + ... + 4010437.

It is an arithmetic number, because the mean of its divisors is an integer number (2304952650).

Almost surely, 2^72261427072 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 72261427072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73758484800).

72261427072 is an abundant number, since it is smaller than the sum of its proper divisors (75255542528).

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

72261427072 is a wasteful number, since it uses less digits than its factorization.

72261427072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18843 (or 18831 counting only the distinct ones).

The product of its (nonzero) digits is 131712, while the sum is 40.

The spelling of 72261427072 in words is "seventy-two billion, two hundred sixty-one million, four hundred twenty-seven thousand, seventy-two".