72534698014464 has 1728 divisors, whose sum is σ = 262810545414144. Its totient is φ = 19506872107008.

The previous prime is 72534698014447. The next prime is 72534698014529. The reversal of 72534698014464 is 46441089643527.

72534698014464 is a `hidden beast` number, since 7 + 2 + 5 + 34 + 69 + 80 + 1 + 4 + 464 = 666.

It is a tau number, because it is divible by the number of its divisors (1728).

It is a super-2 number, since 2×72534698014464² (a number of 29 digits) contains 22 as substring.

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 191 ways as a sum of consecutive naturals, for example, 256306353267 + ... + 256306353549.

It is a 1-persistent number, because it is pandigital, but 2⋅72534698014464 = 145069396028928 is not.

Almost surely, 2^{72534698014464} 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 72534698014464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131405272707072).

72534698014464 is an abundant number, since it is smaller than the sum of its proper divisors (190275847399680).

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

72534698014464 is a wasteful number, since it uses less digits than its factorization.

72534698014464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 664 (or 638 counting only the distinct ones).

The product of its (nonzero) digits is 139345920, while the sum is 63.

The spelling of 72534698014464 in words is "seventy-two trillion, five hundred thirty-four billion, six hundred ninety-eight million, fourteen thousand, four hundred sixty-four".