72027392832000 has 1440 divisors, whose sum is σ = 270723739469040. Its totient is φ = 19112686387200.

The previous prime is 72027392831981. The next prime is 72027392832029. The reversal of 72027392832000 is 23829372027.

It can be written as a sum of positive squares in 8 ways, for example, as 3723911905536 + 68303480926464 = 1929744^2 + 8264592^2 .

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 (45).

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 143 ways as a sum of consecutive naturals, for example, 141507647746 + ... + 141507648254.

Almost surely, 2^{72027392832000} 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 72027392832000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135361869734520).

72027392832000 is an abundant number, since it is smaller than the sum of its proper divisors (198696346637040).

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

72027392832000 is an frugal number, since it uses more digits than its factorization.

72027392832000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 903 (or 856 counting only the distinct ones).

The product of its (nonzero) digits is 508032, while the sum is 45.

The spelling of 72027392832000 in words is "seventy-two trillion, twenty-seven billion, three hundred ninety-two million, eight hundred thirty-two thousand".