72279171840 has 288 divisors, whose sum is σ = 236504862720. Its totient is φ = 18804293632.

The previous prime is 72279171829. The next prime is 72279171851. The reversal of 72279171840 is 4817197227.

It is an interprime number because it is at equal distance from previous prime (72279171829) and next prime (72279171851).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 72279171840.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 100527001 + ... + 100527719.

It is an arithmetic number, because the mean of its divisors is an integer number (821197440).

Almost surely, 2^72279171840 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 72279171840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118252431360).

72279171840 is an abundant number, since it is smaller than the sum of its proper divisors (164225690880).

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

72279171840 is a wasteful number, since it uses less digits than its factorization.

72279171840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1347 (or 1333 counting only the distinct ones).

The product of its (nonzero) digits is 395136, while the sum is 48.

The spelling of 72279171840 in words is "seventy-two billion, two hundred seventy-nine million, one hundred seventy-one thousand, eight hundred forty".