72075058640640 has 1152 divisors, whose sum is σ = 282347388610560. Its totient is φ = 17265003724800.

The previous prime is 72075058640621. The next prime is 72075058640653. The reversal of 72075058640640 is 4604685057027.

It is a happy number.

72075058640640 is a `hidden beast` number, since 7 + 2 + 0 + 7 + 50 + 586 + 4 + 0 + 6 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 20400524314 + ... + 20400527846.

It is an arithmetic number, because the mean of its divisors is an integer number (245093219280).

Almost surely, 2^{72075058640640} 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 72075058640640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141173694305280).

72075058640640 is an abundant number, since it is smaller than the sum of its proper divisors (210272329969920).

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

72075058640640 is a wasteful number, since it uses less digits than its factorization.

72075058640640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4198 (or 4178 counting only the distinct ones).

The product of its (nonzero) digits is 11289600, while the sum is 54.

The spelling of 72075058640640 in words is "seventy-two trillion, seventy-five billion, fifty-eight million, six hundred forty thousand, six hundred forty".