72561429552 has 160 divisors (see below), whose sum is σ = 200932337920. Its totient is φ = 22495656960.

The previous prime is 72561429467. The next prime is 72561429599. The reversal of 72561429552 is 25592416527.

It is a super-2 number, since 2×72561429552² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

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, 42112563 + ... + 42114285.

It is an arithmetic number, because the mean of its divisors is an integer number (1255827112).

Almost surely, 2^72561429552 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 72561429552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100466168960).

72561429552 is an abundant number, since it is smaller than the sum of its proper divisors (128370908368).

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

72561429552 is a wasteful number, since it uses less digits than its factorization.

72561429552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2571 (or 2565 counting only the distinct ones).

The product of its digits is 1512000, while the sum is 48.

The spelling of 72561429552 in words is "seventy-two billion, five hundred sixty-one million, four hundred twenty-nine thousand, five hundred fifty-two".