72874129860 has 576 divisors, whose sum is σ = 266133504000. Its totient is φ = 16127983872.

The previous prime is 72874129817. The next prime is 72874129879. The reversal of 72874129860 is 6892147827.

It is a happy number.

72874129860 is a `hidden beast` number, since 7 + 2 + 87 + 412 + 98 + 60 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 72874129797 and 72874129806.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 326789709 + ... + 326789931.

Almost surely, 2^72874129860 is an apocalyptic number.

72874129860 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 72874129860, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133066752000).

72874129860 is an abundant number, since it is smaller than the sum of its proper divisors (193259374140).

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

72874129860 is a wasteful number, since it uses less digits than its factorization.

72874129860 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 405 (or 386 counting only the distinct ones).

The product of its (nonzero) digits is 2709504, while the sum is 54.

The spelling of 72874129860 in words is "seventy-two billion, eight hundred seventy-four million, one hundred twenty-nine thousand, eight hundred sixty".