72047149056 has 225 divisors, whose sum is σ = 216173172061. Its totient is φ = 23912644608.

The previous prime is 72047149039. The next prime is 72047149067. The reversal of 72047149056 is 65094174027.

The square root of 72047149056 is 268416.

It is a perfect power (a square), and thus also a powerful number.

72047149056 is a `hidden beast` number, since 72 + 0 + 47 + 1 + 490 + 56 = 666.

It can be written as a sum of positive squares in only one way, i.e., 14631321600 + 57415827456 = 120960^2 + 239616^2 .

It is a super-2 number, since 2×72047149056² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 309215116 + ... + 309215348.

Almost surely, 2^72047149056 is an apocalyptic number.

72047149056 is the 268416-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 72047149056

72047149056 is an abundant number, since it is smaller than the sum of its proper divisors (144126023005).

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

72047149056 is an frugal number, since it uses more digits than its factorization.

72047149056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 506 (or 238 counting only the distinct ones).

The product of its (nonzero) digits is 423360, while the sum is 45.

The spelling of 72047149056 in words is "seventy-two billion, forty-seven million, one hundred forty-nine thousand, fifty-six".