72503014272 has 256 divisors, whose sum is σ = 215041720320. Its totient is φ = 21493186560.

The previous prime is 72503014271. The next prime is 72503014277. The reversal of 72503014272 is 27241030527.

It is a super-3 number, since 3×72503014272³ (a number of 34 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72503014271) 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, 39770353 + ... + 39772175.

It is an arithmetic number, because the mean of its divisors is an integer number (840006720).

Almost surely, 2^72503014272 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 72503014272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107520860160).

72503014272 is an abundant number, since it is smaller than the sum of its proper divisors (142538706048).

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

72503014272 is a wasteful number, since it uses less digits than its factorization.

72503014272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2141 (or 2129 counting only the distinct ones).

The product of its (nonzero) digits is 23520, while the sum is 33.

Adding to 72503014272 its reverse (27241030527), we get a palindrome (99744044799).

The spelling of 72503014272 in words is "seventy-two billion, five hundred three million, fourteen thousand, two hundred seventy-two".