72111219840 has 1024 divisors, whose sum is σ = 301045248000. Its totient is φ = 16124313600.

The previous prime is 72111219839. The next prime is 72111219841. The reversal of 72111219840 is 4891211127.

It is an interprime number because it is at equal distance from previous prime (72111219839) and next prime (72111219841).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 72111219795 and 72111219804.

It is not an unprimeable number, because it can be changed into a prime (72111219841) by changing a digit.

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 127 ways as a sum of consecutive naturals, for example, 148072077 + ... + 148072563.

It is an arithmetic number, because the mean of its divisors is an integer number (293989500).

Almost surely, 2^72111219840 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 72111219840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150522624000).

72111219840 is an abundant number, since it is smaller than the sum of its proper divisors (228934028160).

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

72111219840 is a wasteful number, since it uses less digits than its factorization.

72111219840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 586 (or 568 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 36.

The spelling of 72111219840 in words is "seventy-two billion, one hundred eleven million, two hundred nineteen thousand, eight hundred forty".