72117606144 has 72 divisors (see below), whose sum is σ = 196021889280. Its totient is φ = 23527717888.

The previous prime is 72117606131. The next prime is 72117606157. The reversal of 72117606144 is 44160671127.

It is an interprime number because it is at equal distance from previous prime (72117606131) and next prime (72117606157).

It is a super-2 number, since 2×72117606144² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

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, 962874 + ... + 1035065.

It is an arithmetic number, because the mean of its divisors is an integer number (2722526240).

Almost surely, 2^72117606144 is an apocalyptic number.

It is an amenable number.

72117606144 is an abundant number, since it is smaller than the sum of its proper divisors (123904283136).

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

72117606144 is a wasteful number, since it uses less digits than its factorization.

72117606144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1998005 (or 1997991 counting only the distinct ones).

The product of its (nonzero) digits is 56448, while the sum is 39.

The spelling of 72117606144 in words is "seventy-two billion, one hundred seventeen million, six hundred six thousand, one hundred forty-four".