72122535552 has 128 divisors (see below), whose sum is σ = 196187616000. Its totient is φ = 23468949504.

The previous prime is 72122535539. The next prime is 72122535559. The reversal of 72122535552 is 25553522127.

It is a tau number, because it is divible by the number of its divisors (128).

It is a self number, because there is not a number n which added to its sum of digits gives 72122535552.

It is not an unprimeable number, because it can be changed into a prime (72122535559) 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, 2686548 + ... + 2713260.

It is an arithmetic number, because the mean of its divisors is an integer number (1532715750).

Almost surely, 2^72122535552 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 72122535552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98093808000).

72122535552 is an abundant number, since it is smaller than the sum of its proper divisors (124065080448).

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

72122535552 is a wasteful number, since it uses less digits than its factorization.

72122535552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26898 (or 26886 counting only the distinct ones).

The product of its digits is 210000, while the sum is 39.

The spelling of 72122535552 in words is "seventy-two billion, one hundred twenty-two million, five hundred thirty-five thousand, five hundred fifty-two".