72525210912 has 288 divisors, whose sum is σ = 257836400640. Its totient is φ = 18786332160.

The previous prime is 72525210911. The next prime is 72525210941. The reversal of 72525210912 is 21901252527.

72525210912 is a `hidden beast` number, since 72 + 52 + 521 + 0 + 9 + 12 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-3 number, since 3×72525210912³ (a number of 34 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (72525210911) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8489139 + ... + 8497677.

It is an arithmetic number, because the mean of its divisors is an integer number (895265280).

Almost surely, 2^72525210912 is an apocalyptic number.

72525210912 is a gapful number since it is divisible by the number (72) 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 72525210912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128918200320).

72525210912 is an abundant number, since it is smaller than the sum of its proper divisors (185311189728).

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

72525210912 is a wasteful number, since it uses less digits than its factorization.

72525210912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8956 (or 8945 counting only the distinct ones).

The product of its (nonzero) digits is 25200, while the sum is 36.

It can be divided in two parts, 725252 and 10912, that added together give a square (736164 = 858²).

The spelling of 72525210912 in words is "seventy-two billion, five hundred twenty-five million, two hundred ten thousand, nine hundred twelve".