72223009656 has 128 divisors (see below), whose sum is σ = 209966722560. Its totient is φ = 20275200000.

The previous prime is 72223009631. The next prime is 72223009667. The reversal of 72223009656 is 65690032227.

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4505656 + ... + 4521656.

It is an arithmetic number, because the mean of its divisors is an integer number (1640365020).

Almost surely, 2^72223009656 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 72223009656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104983361280).

72223009656 is an abundant number, since it is smaller than the sum of its proper divisors (137743712904).

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

72223009656 is a wasteful number, since it uses less digits than its factorization.

72223009656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16485 (or 16481 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 42.

The spelling of 72223009656 in words is "seventy-two billion, two hundred twenty-three million, nine thousand, six hundred fifty-six".