72634562064 has 135 divisors (see below), whose sum is σ = 209263069197. Its totient is φ = 23518346112.

The previous prime is 72634562057. The next prime is 72634562087. The reversal of 72634562064 is 46026543627.

The square root of 72634562064 is 269508.

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

72634562064 is a `hidden beast` number, since 7 + 2 + 634 + 5 + 6 + 2 + 0 + 6 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 64994403600 + 7640158464 = 254940^2 + 87408^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 119661249 + ... + 119661855.

Almost surely, 2^72634562064 is an apocalyptic number.

72634562064 is a gapful number since it is divisible by the number (74) formed by its first and last digit.

72634562064 is the 269508-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 72634562064

72634562064 is an abundant number, since it is smaller than the sum of its proper divisors (136628507133).

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

72634562064 is an equidigital number, since it uses as much as digits as its factorization.

72634562064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1302 (or 649 counting only the distinct ones).

The product of its (nonzero) digits is 1451520, while the sum is 45.

The spelling of 72634562064 in words is "seventy-two billion, six hundred thirty-four million, five hundred sixty-two thousand, sixty-four".