72741292240 has 160 divisors (see below), whose sum is σ = 178584569856. Its totient is φ = 27501027840.

The previous prime is 72741292199. The next prime is 72741292277. The reversal of 72741292240 is 4229214727.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 72741292193 and 72741292202.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 73998789 + ... + 73999771.

Almost surely, 2^72741292240 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 72741292240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89292284928).

72741292240 is an abundant number, since it is smaller than the sum of its proper divisors (105843277616).

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

72741292240 is a wasteful number, since it uses less digits than its factorization.

72741292240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1457 (or 1451 counting only the distinct ones).

The product of its (nonzero) digits is 112896, while the sum is 40.

The spelling of 72741292240 in words is "seventy-two billion, seven hundred forty-one million, two hundred ninety-two thousand, two hundred forty".