72113276004 has 192 divisors, whose sum is σ = 222456471552. Its totient is φ = 17602560000.

The previous prime is 72113275991. The next prime is 72113276047. The reversal of 72113276004 is 40067231127.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 11793652 + ... + 11799764.

It is an arithmetic number, because the mean of its divisors is an integer number (1158627456).

Almost surely, 2^72113276004 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 72113276004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111228235776).

72113276004 is an abundant number, since it is smaller than the sum of its proper divisors (150343195548).

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

72113276004 is a wasteful number, since it uses less digits than its factorization.

72113276004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6906 (or 6904 counting only the distinct ones).

The product of its (nonzero) digits is 14112, while the sum is 33.

The spelling of 72113276004 in words is "seventy-two billion, one hundred thirteen million, two hundred seventy-six thousand, four".