72121265948160 has 1920 divisors, whose sum is σ = 307196247181824. Its totient is φ = 15986082447360.

The previous prime is 72121265948143. The next prime is 72121265948167. The reversal of 72121265948160 is 6184956212127.

72121265948160 is a `hidden beast` number, since 7 + 2 + 1 + 21 + 26 + 594 + 8 + 1 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1920).

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

It is a junction number, because it is equal to n+sod(n) for n = 72121265948097 and 72121265948106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72121265948167) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 9518442292 + ... + 9518449868.

Almost surely, 2^{72121265948160} 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 72121265948160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153598123590912).

72121265948160 is an abundant number, since it is smaller than the sum of its proper divisors (235074981233664).

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

72121265948160 is a wasteful number, since it uses less digits than its factorization.

72121265948160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7746 (or 7718 counting only the distinct ones).

The product of its (nonzero) digits is 2903040, while the sum is 54.

The spelling of 72121265948160 in words is "seventy-two trillion, one hundred twenty-one billion, two hundred sixty-five million, nine hundred forty-eight thousand, one hundred sixty".