72013020000 has 360 divisors, whose sum is σ = 250990013736. Its totient is φ = 18069504000.

The previous prime is 72013019957. The next prime is 72013020011. The reversal of 72013020000 is 2031027.

It is a Harshad number since it is a multiple of its sum of digits (15).

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 59 ways as a sum of consecutive naturals, for example, 17337924 + ... + 17342076.

Almost surely, 2^72013020000 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 72013020000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125495006868).

72013020000 is an abundant number, since it is smaller than the sum of its proper divisors (178976993736).

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

72013020000 is a wasteful number, since it uses less digits than its factorization.

72013020000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4220 (or 4180 counting only the distinct ones).

The product of its (nonzero) digits is 84, while the sum is 15.

Adding to 72013020000 its reverse (2031027), we get a palindrome (72015051027).

The spelling of 72013020000 in words is "seventy-two billion, thirteen million, twenty thousand".