72412238080 has 144 divisors (see below), whose sum is σ = 213477191424. Its totient is φ = 22917242880.

The previous prime is 72412238051. The next prime is 72412238137. The reversal of 72412238080 is 8083221427.

It is a super-3 number, since 3×72412238080³ (a number of 34 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 194356 + ... + 427315.

It is an arithmetic number, because the mean of its divisors is an integer number (1482480496).

Almost surely, 2^72412238080 is an apocalyptic number.

72412238080 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

72412238080 is an abundant number, since it is smaller than the sum of its proper divisors (141064953344).

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

72412238080 is a wasteful number, since it uses less digits than its factorization.

72412238080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 621712 (or 621698 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 37.

The spelling of 72412238080 in words is "seventy-two billion, four hundred twelve million, two hundred thirty-eight thousand, eighty".