72061375344 has 320 divisors, whose sum is σ = 233275355136. Its totient is φ = 18700664832.

The previous prime is 72061375339. The next prime is 72061375367. The reversal of 72061375344 is 44357316027.

It is a super-2 number, since 2×72061375344² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 72061375296 and 72061375305.

It is a congruent number.

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, 19596034 + ... + 19599710.

Almost surely, 2^72061375344 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 72061375344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116637677568).

72061375344 is an abundant number, since it is smaller than the sum of its proper divisors (161213979792).

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

72061375344 is a wasteful number, since it uses less digits than its factorization.

72061375344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3832 (or 3826 counting only the distinct ones).

The product of its (nonzero) digits is 423360, while the sum is 42.

The spelling of 72061375344 in words is "seventy-two billion, sixty-one million, three hundred seventy-five thousand, three hundred forty-four".