72208144008 has 1536 divisors, whose sum is σ = 301529088000. Its totient is φ = 15872371200.

The previous prime is 72208144003. The next prime is 72208144013. The reversal of 72208144008 is 80044180227.

72208144008 is a `hidden beast` number, since 7 + 2 + 208 + 1 + 440 + 0 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (72208144003) and next prime (72208144013).

It is a super-2 number, since 2×72208144008² (a number of 23 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (72208144003) by changing a digit.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 2329294953 + ... + 2329294983.

It is an arithmetic number, because the mean of its divisors is an integer number (196308000).

Almost surely, 2^72208144008 is an apocalyptic number.

72208144008 is a gapful number since it is divisible by the number (78) 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 72208144008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150764544000).

72208144008 is an abundant number, since it is smaller than the sum of its proper divisors (229320943992).

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

72208144008 is a wasteful number, since it uses less digits than its factorization.

72208144008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 115 (or 86 counting only the distinct ones).

The product of its (nonzero) digits is 28672, while the sum is 36.

The spelling of 72208144008 in words is "seventy-two billion, two hundred eight million, one hundred forty-four thousand, eight".