72036263312640 has 1152 divisors, whose sum is σ = 288915696599040. Its totient is φ = 16838229196800.

The previous prime is 72036263312639. The next prime is 72036263312641. The reversal of 72036263312640 is 4621336263027.

72036263312640 is a `hidden beast` number, since 7 + 2 + 0 + 3 + 6 + 2 + 633 + 1 + 2 + 6 + 4 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (72036263312639) and next prime (72036263312641).

It is a tau number, because it is divible by the number of its divisors (1152).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72036263312641) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 3264422887 + ... + 3264444953.

It is an arithmetic number, because the mean of its divisors is an integer number (250794875520).

Almost surely, 2^{72036263312640} 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 72036263312640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144457848299520).

72036263312640 is an abundant number, since it is smaller than the sum of its proper divisors (216879433286400).

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

72036263312640 is a wasteful number, since it uses less digits than its factorization.

72036263312640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22416 (or 22396 counting only the distinct ones).

The product of its (nonzero) digits is 1306368, while the sum is 45.

Adding to 72036263312640 its reverse (4621336263027), we get a palindrome (76657599575667).

The spelling of 72036263312640 in words is "seventy-two trillion, thirty-six billion, two hundred sixty-three million, three hundred twelve thousand, six hundred forty".