72504157440 has 864 divisors, whose sum is σ = 283541521536. Its totient is φ = 15565455360.

The previous prime is 72504157421. The next prime is 72504157457. The reversal of 72504157440 is 4475140527.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 461809842 + ... + 461809998.

Almost surely, 2^72504157440 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 72504157440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141770760768).

72504157440 is an abundant number, since it is smaller than the sum of its proper divisors (211037364096).

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

72504157440 is a wasteful number, since it uses less digits than its factorization.

72504157440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 263 (or 220 counting only the distinct ones).

The product of its (nonzero) digits is 156800, while the sum is 39.

Adding to 72504157440 its reverse (4475140527), we get a palindrome (76979297967).

The spelling of 72504157440 in words is "seventy-two billion, five hundred four million, one hundred fifty-seven thousand, four hundred forty".