72136539079440 has 640 divisors, whose sum is σ = 252464993206272. Its totient is φ = 16887633960960.

The previous prime is 72136539079427. The next prime is 72136539079447. The reversal of 72136539079440 is 4497093563127.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is not an unprimeable number, because it can be changed into a prime (72136539079447) 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, 4224184182 + ... + 4224201258.

Almost surely, 2^{72136539079440} 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 72136539079440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126232496603136).

72136539079440 is an abundant number, since it is smaller than the sum of its proper divisors (180328454126832).

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

72136539079440 is a wasteful number, since it uses less digits than its factorization.

72136539079440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17567 (or 17561 counting only the distinct ones).

The product of its (nonzero) digits is 34292160, while the sum is 60.

The spelling of 72136539079440 in words is "seventy-two trillion, one hundred thirty-six billion, five hundred thirty-nine million, seventy-nine thousand, four hundred forty".