72178968654 has 96 divisors (see below), whose sum is σ = 170421529824. Its totient is φ = 21945542400.

The previous prime is 72178968643. The next prime is 72178968661. The reversal of 72178968654 is 45686987127.

It is a super-2 number, since 2×72178968654² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 72178968591 and 72178968600.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 13161397 + ... + 13166879.

It is an arithmetic number, because the mean of its divisors is an integer number (1775224269).

Almost surely, 2^72178968654 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 72178968654, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85210764912).

72178968654 is an abundant number, since it is smaller than the sum of its proper divisors (98242561170).

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

72178968654 is a wasteful number, since it uses less digits than its factorization.

72178968654 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6162 (or 6159 counting only the distinct ones).

The product of its digits is 40642560, while the sum is 63.

The spelling of 72178968654 in words is "seventy-two billion, one hundred seventy-eight million, nine hundred sixty-eight thousand, six hundred fifty-four".