72671670720 has 1680 divisors, whose sum is σ = 317853486720. Its totient is φ = 15668674560.

The previous prime is 72671670719. The next prime is 72671670761. The reversal of 72671670720 is 2707617627.

It is a super-2 number, since 2×72671670720² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 1546205737 + ... + 1546205783.

It is an arithmetic number, because the mean of its divisors is an integer number (189198504).

Almost surely, 2^72671670720 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 72671670720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158926743360).

72671670720 is an abundant number, since it is smaller than the sum of its proper divisors (245181816000).

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

72671670720 is a wasteful number, since it uses less digits than its factorization.

72671670720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 144 (or 114 counting only the distinct ones).

The product of its (nonzero) digits is 345744, while the sum is 45.

The spelling of 72671670720 in words is "seventy-two billion, six hundred seventy-one million, six hundred seventy thousand, seven hundred twenty".