72553200678144 has 288 divisors, whose sum is σ = 225867093648000. Its totient is φ = 22909277454336.

The previous prime is 72553200678139. The next prime is 72553200678173. The reversal of 72553200678144 is 44187600235527.

72553200678144 is a `hidden beast` number, since 7 + 2 + 5 + 532 + 0 + 0 + 67 + 8 + 1 + 44 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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 31 ways as a sum of consecutive naturals, for example, 1768836324 + ... + 1768877340.

Almost surely, 2^{72553200678144} 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 72553200678144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112933546824000).

72553200678144 is an abundant number, since it is smaller than the sum of its proper divisors (153313892969856).

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

72553200678144 is a wasteful number, since it uses less digits than its factorization.

72553200678144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54530 (or 54510 counting only the distinct ones).

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

The spelling of 72553200678144 in words is "seventy-two trillion, five hundred fifty-three billion, two hundred million, six hundred seventy-eight thousand, one hundred forty-four".