72263600640000 has 5265 divisors, whose sum is σ = 348644597640339. Its totient is φ = 14362951680000.

The previous prime is 72263600639983. The next prime is 72263600640001. The reversal of 72263600640000 is 4600636227.

It is a happy number.

The square root of 72263600640000 is 8500800.

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

72263600640000 is a `hidden beast` number, since 7 + 2 + 2 + 6 + 3 + 6 + 0 + 0 + 640 + 0 + 0 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 5665466290176 + 66598134349824 = 2380224^2 + 8160768^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (72263600640001) by changing a digit.

It is a polite number, since it can be written in 404 ways as a sum of consecutive naturals, for example, 3141895679989 + ... + 3141895680011.

Almost surely, 2^{72263600640000} is an apocalyptic number.

72263600640000 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

72263600640000 is the 8500800-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 72263600640000

72263600640000 is an abundant number, since it is smaller than the sum of its proper divisors (276380997000339).

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

72263600640000 is a wasteful number, since it uses less digits than its factorization.

72263600640000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 132 (or 51 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 36.

72263600640000 divided by its sum of digits (36) gives a square (2007322240000 = 1416800²).

The spelling of 72263600640000 in words is "seventy-two trillion, two hundred sixty-three billion, six hundred million, six hundred forty thousand".