72101318849712 has 640 divisors, whose sum is σ = 238306747392000. Its totient is φ = 20755574784000.

The previous prime is 72101318849641. The next prime is 72101318849737. The reversal of 72101318849712 is 21794881310127.

72101318849712 is a `hidden beast` number, since 7 + 2 + 1 + 0 + 131 + 8 + 8 + 497 + 12 = 666.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 302419512 + ... + 302657832.

It is an arithmetic number, because the mean of its divisors is an integer number (372354292800).

Almost surely, 2^{72101318849712} is an apocalyptic number.

72101318849712 is a gapful number since it is divisible by the number (72) 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 72101318849712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119153373696000).

72101318849712 is an abundant number, since it is smaller than the sum of its proper divisors (166205428542288).

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

72101318849712 is a wasteful number, since it uses less digits than its factorization.

72101318849712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 238458 (or 238446 counting only the distinct ones).

The product of its (nonzero) digits is 1354752, while the sum is 54.

The spelling of 72101318849712 in words is "seventy-two trillion, one hundred one billion, three hundred eighteen million, eight hundred forty-nine thousand, seven hundred twelve".