72175406160 has 480 divisors, whose sum is σ = 271369131264. Its totient is φ = 15753830400.

The previous prime is 72175406129. The next prime is 72175406257. The reversal of 72175406160 is 6160457127.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 15475989 + ... + 15480651.

Almost surely, 2^72175406160 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 72175406160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135684565632).

72175406160 is an abundant number, since it is smaller than the sum of its proper divisors (199193725104).

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

72175406160 is a wasteful number, since it uses less digits than its factorization.

72175406160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4755 (or 4738 counting only the distinct ones).

The product of its (nonzero) digits is 70560, while the sum is 39.

The spelling of 72175406160 in words is "seventy-two billion, one hundred seventy-five million, four hundred six thousand, one hundred sixty".