72172712206560 has 192 divisors, whose sum is σ = 259884679122432. Its totient is φ = 16492625319936.

The previous prime is 72172712206549. The next prime is 72172712206583. The reversal of 72172712206560 is 6560221727127.

It is a happy number.

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

It is a congruent number.

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, 11288287 + ... + 16485473.

It is an arithmetic number, because the mean of its divisors is an integer number (1353566037096).

Almost surely, 2^{72172712206560} is an apocalyptic number.

72172712206560 is a gapful number since it is divisible by the number (70) 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 72172712206560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129942339561216).

72172712206560 is an abundant number, since it is smaller than the sum of its proper divisors (187711966915872).

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

72172712206560 is a wasteful number, since it uses less digits than its factorization.

72172712206560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5201345 (or 5201337 counting only the distinct ones).

The product of its (nonzero) digits is 987840, while the sum is 48.

The spelling of 72172712206560 in words is "seventy-two trillion, one hundred seventy-two billion, seven hundred twelve million, two hundred six thousand, five hundred sixty".