72572021440 has 224 divisors, whose sum is σ = 183817662336. Its totient is φ = 27233648640.

The previous prime is 72572021407. The next prime is 72572021443. The reversal of 72572021440 is 4412027527.

It is a junction number, because it is equal to n+sod(n) for n = 72572021396 and 72572021405.

It is not an unprimeable number, because it can be changed into a prime (72572021443) 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, 157422810 + ... + 157423270.

It is an arithmetic number, because the mean of its divisors is an integer number (820614564).

Almost surely, 2^72572021440 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 72572021440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91908831168).

72572021440 is an abundant number, since it is smaller than the sum of its proper divisors (111245640896).

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

72572021440 is a wasteful number, since it uses less digits than its factorization.

72572021440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 867 (or 857 counting only the distinct ones).

The product of its (nonzero) digits is 31360, while the sum is 34.

Adding to 72572021440 its reverse (4412027527), we get a palindrome (76984048967).

The spelling of 72572021440 in words is "seventy-two billion, five hundred seventy-two million, twenty-one thousand, four hundred forty".