72671481856 has 104 divisors (see below), whose sum is σ = 147980571840. Its totient is φ = 35677863936.

The previous prime is 72671481853. The next prime is 72671481877. The reversal of 72671481856 is 65818417627.

It is a super-2 number, since 2×72671481856² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 72671481797 and 72671481806.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72671481853) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 59420061 + ... + 59421283.

Almost surely, 2^72671481856 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 72671481856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73990285920).

72671481856 is an abundant number, since it is smaller than the sum of its proper divisors (75309089984).

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

72671481856 is a wasteful number, since it uses less digits than its factorization.

72671481856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1499 (or 1477 counting only the distinct ones).

The product of its digits is 4515840, while the sum is 55.

The spelling of 72671481856 in words is "seventy-two billion, six hundred seventy-one million, four hundred eighty-one thousand, eight hundred fifty-six".