72148520040 has 32 divisors (see below), whose sum is σ = 216445560480. Its totient is φ = 19239605312.

The previous prime is 72148520011. The next prime is 72148520057. The reversal of 72148520040 is 4002584127.

It is a super-4 number, since 4×72148520040⁴ (a number of 45 digits) contains 4444 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 72148519983 and 72148520010.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 300618714 + ... + 300618953.

It is an arithmetic number, because the mean of its divisors is an integer number (6763923765).

Almost surely, 2^72148520040 is an apocalyptic number.

It is an amenable number.

72148520040 is an abundant number, since it is smaller than the sum of its proper divisors (144297040440).

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

72148520040 is a wasteful number, since it uses less digits than its factorization.

72148520040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 601237681 (or 601237677 counting only the distinct ones).

The product of its (nonzero) digits is 17920, while the sum is 33.

The spelling of 72148520040 in words is "seventy-two billion, one hundred forty-eight million, five hundred twenty thousand, forty".