72427730240516 has 72 divisors (see below), whose sum is σ = 148614696760320. Its totient is φ = 30793645132992.

The previous prime is 72427730240497. The next prime is 72427730240543. The reversal of 72427730240516 is 61504203772427.

It is a happy number.

It is a super-2 number, since 2×72427730240516² (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 340142315 + ... + 340355181.

It is an arithmetic number, because the mean of its divisors is an integer number (2064093010560).

Almost surely, 2^{72427730240516} 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 72427730240516, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74307348380160).

72427730240516 is an abundant number, since it is smaller than the sum of its proper divisors (76186966519804).

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

72427730240516 is a wasteful number, since it uses less digits than its factorization.

72427730240516 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 226681 (or 226672 counting only the distinct ones).

The product of its (nonzero) digits is 3951360, while the sum is 50.

The spelling of 72427730240516 in words is "seventy-two trillion, four hundred twenty-seven billion, seven hundred thirty million, two hundred forty thousand, five hundred sixteen".