72155063844864 has 2720 divisors, whose sum is σ = 298073019611136. Its totient is φ = 16786485411840.

The previous prime is 72155063844859. The next prime is 72155063844911. The reversal of 72155063844864 is 46844836055127.

72155063844864 is a `hidden beast` number, since 7 + 2 + 1 + 5 + 506 + 3 + 8 + 44 + 86 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 196607803209 + ... + 196607803575.

Almost surely, 2^{72155063844864} is an apocalyptic number.

72155063844864 is a gapful number since it is divisible by the number (74) 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 72155063844864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149036509805568).

72155063844864 is an abundant number, since it is smaller than the sum of its proper divisors (225917955766272).

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

72155063844864 is a wasteful number, since it uses less digits than its factorization.

72155063844864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 479 (or 440 counting only the distinct ones).

The product of its (nonzero) digits is 154828800, while the sum is 63.

It can be divided in two parts, 72155063 and 844864, that added together give a palindrome (72999927).

The spelling of 72155063844864 in words is "seventy-two trillion, one hundred fifty-five billion, sixty-three million, eight hundred forty-four thousand, eight hundred sixty-four".