72719824727040 has 352 divisors, whose sum is σ = 245702946723840. Its totient is φ = 18305925120000.

The previous prime is 72719824727023. The next prime is 72719824727047. The reversal of 72719824727040 is 4072742891727.

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 (72719824727047) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 81563665 + ... + 82450415.

Almost surely, 2^{72719824727040} 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 72719824727040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122851473361920).

72719824727040 is an abundant number, since it is smaller than the sum of its proper divisors (172983121996800).

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

72719824727040 is a wasteful number, since it uses less digits than its factorization.

72719824727040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 887079 (or 887061 counting only the distinct ones).

The product of its (nonzero) digits is 22127616, while the sum is 60.

The spelling of 72719824727040 in words is "seventy-two trillion, seven hundred nineteen billion, eight hundred twenty-four million, seven hundred twenty-seven thousand, forty".