72576000000 has 980 divisors, whose sum is σ = 309737129064. Its totient is φ = 16588800000.

The previous prime is 72575999999. The next prime is 72576000001. The reversal of 72576000000 is 67527.

72576000000 is a `hidden beast` number, since 7 + 2 + 57 + 600 + 0 + 0 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (72575999999) and next prime (72576000001).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72576000001) by changing a digit.

It is a polite number, since it can be written in 69 ways as a sum of consecutive naturals, for example, 10367999997 + ... + 10368000003.

Almost surely, 2^72576000000 is an apocalyptic number.

72576000000 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 72576000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154868564532).

72576000000 is an abundant number, since it is smaller than the sum of its proper divisors (237161129064).

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

72576000000 is an frugal number, since it uses more digits than its factorization.

72576000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75 (or 17 counting only the distinct ones).

The product of its (nonzero) digits is 2940, while the sum is 27.

Adding to 72576000000 its reverse (67527), we get a palindrome (72576067527).

The spelling of 72576000000 in words is "seventy-two billion, five hundred seventy-six million", and thus it is an aban number.