72500072000 has 224 divisors, whose sum is σ = 186173205504. Its totient is φ = 27938304000.

The previous prime is 72500071991. The next prime is 72500072003. The reversal of 72500072000 is 27000527.

It is not an unprimeable number, because it can be changed into a prime (72500072003) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 70183484 + ... + 70184516.

Almost surely, 2^72500072000 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 72500072000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93086602752).

72500072000 is an abundant number, since it is smaller than the sum of its proper divisors (113673133504).

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

72500072000 is a wasteful number, since it uses less digits than its factorization.

72500072000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1374 (or 1354 counting only the distinct ones).

The product of its (nonzero) digits is 980, while the sum is 23.

Adding to 72500072000 its reverse (27000527), we get a palindrome (72527072527).

The spelling of 72500072000 in words is "seventy-two billion, five hundred million, seventy-two thousand".