72529067520 has 960 divisors, whose sum is σ = 319183856640. Its totient is φ = 15285583872.

The previous prime is 72529067411. The next prime is 72529067539. The reversal of 72529067520 is 2576092527.

72529067520 is a `hidden beast` number, since 72 + 52 + 9 + 0 + 6 + 7 + 520 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 81768517 + ... + 81769403.

It is an arithmetic number, because the mean of its divisors is an integer number (332483184).

Almost surely, 2^72529067520 is an apocalyptic number.

72529067520 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 72529067520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159591928320).

72529067520 is an abundant number, since it is smaller than the sum of its proper divisors (246654789120).

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

72529067520 is a wasteful number, since it uses less digits than its factorization.

72529067520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 952 (or 917 counting only the distinct ones).

The product of its (nonzero) digits is 529200, while the sum is 45.

The spelling of 72529067520 in words is "seventy-two billion, five hundred twenty-nine million, sixty-seven thousand, five hundred twenty".