72053278560 has 288 divisors, whose sum is σ = 252750056832. Its totient is φ = 18682859520.

The previous prime is 72053278501. The next prime is 72053278571. The reversal of 72053278560 is 6587235027.

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 (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10622370 + ... + 10629150.

It is an arithmetic number, because the mean of its divisors is an integer number (877604364).

Almost surely, 2^72053278560 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 72053278560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126375028416).

72053278560 is an abundant number, since it is smaller than the sum of its proper divisors (180696778272).

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

72053278560 is a wasteful number, since it uses less digits than its factorization.

72053278560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7006 (or 6995 counting only the distinct ones).

The product of its (nonzero) digits is 705600, while the sum is 45.

The spelling of 72053278560 in words is "seventy-two billion, fifty-three million, two hundred seventy-eight thousand, five hundred sixty".