72211501740 has 192 divisors, whose sum is σ = 237352550400. Its totient is φ = 16059402240.

The previous prime is 72211501693. The next prime is 72211501759. The reversal of 72211501740 is 4710511227.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 72211501698 and 72211501707.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6589786 + ... + 6600734.

It is an arithmetic number, because the mean of its divisors is an integer number (1236211200).

Almost surely, 2^72211501740 is an apocalyptic number.

72211501740 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 72211501740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118676275200).

72211501740 is an abundant number, since it is smaller than the sum of its proper divisors (165141048660).

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

72211501740 is a wasteful number, since it uses less digits than its factorization.

72211501740 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11392 (or 11390 counting only the distinct ones).

The product of its (nonzero) digits is 3920, while the sum is 30.

The spelling of 72211501740 in words is "seventy-two billion, two hundred eleven million, five hundred one thousand, seven hundred forty".