72531193754880 has 1440 divisors, whose sum is σ = 307689259046400. Its totient is φ = 15962242351104.

The previous prime is 72531193754879. The next prime is 72531193754893. The reversal of 72531193754880 is 8845739113527.

It is a happy number.

72531193754880 is a `hidden beast` number, since 7 + 2 + 5 + 3 + 1 + 1 + 9 + 3 + 7 + 548 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

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

It is a congruent number.

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, 7850541301 + ... + 7850550539.

It is an arithmetic number, because the mean of its divisors is an integer number (213673096560).

Almost surely, 2^{72531193754880} is an apocalyptic number.

72531193754880 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 72531193754880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153844629523200).

72531193754880 is an abundant number, since it is smaller than the sum of its proper divisors (235158065291520).

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

72531193754880 is a wasteful number, since it uses less digits than its factorization.

72531193754880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9681 (or 9658 counting only the distinct ones).

The product of its (nonzero) digits is 50803200, while the sum is 63.

The spelling of 72531193754880 in words is "seventy-two trillion, five hundred thirty-one billion, one hundred ninety-three million, seven hundred fifty-four thousand, eight hundred eighty".