72497872854 has 192 divisors, whose sum is σ = 181254528000. Its totient is φ = 21456705600.

The previous prime is 72497872819. The next prime is 72497872873. The reversal of 72497872854 is 45827879427.

72497872854 is a `hidden beast` number, since 72 + 497 + 8 + 7 + 28 + 54 = 666.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 72497872791 and 72497872800.

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, 69776067 + ... + 69777105.

It is an arithmetic number, because the mean of its divisors is an integer number (944034000).

Almost surely, 2^72497872854 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 72497872854, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90627264000).

72497872854 is an abundant number, since it is smaller than the sum of its proper divisors (108756655146).

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

72497872854 is a wasteful number, since it uses less digits than its factorization.

72497872854 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1312 (or 1295 counting only the distinct ones).

The product of its digits is 63221760, while the sum is 63.

The spelling of 72497872854 in words is "seventy-two billion, four hundred ninety-seven million, eight hundred seventy-two thousand, eight hundred fifty-four".