72741545140 has 96 divisors (see below), whose sum is σ = 176904000000. Its totient is φ = 24831006720.

The previous prime is 72741545131. The next prime is 72741545141. The reversal of 72741545140 is 4154514727.

It is a junction number, because it is equal to n+sod(n) for n = 72741545093 and 72741545102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72741545141) 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, 1429861 + ... + 1479859.

It is an arithmetic number, because the mean of its divisors is an integer number (1842750000).

Almost surely, 2^72741545140 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 72741545140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88452000000).

72741545140 is an abundant number, since it is smaller than the sum of its proper divisors (104162454860).

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

72741545140 is a wasteful number, since it uses less digits than its factorization.

72741545140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 50425 (or 50423 counting only the distinct ones).

The product of its (nonzero) digits is 156800, while the sum is 40.

The spelling of 72741545140 in words is "seventy-two billion, seven hundred forty-one million, five hundred forty-five thousand, one hundred forty".