72452567531520 has 816 divisors, whose sum is σ = 276574347346752. Its totient is φ = 17399273226240.

The previous prime is 72452567531507. The next prime is 72452567531599. The reversal of 72452567531520 is 2513576525427.

72452567531520 is a `hidden beast` number, since 7 + 2 + 4 + 5 + 2 + 5 + 67 + 53 + 1 + 520 = 666.

It is a super-2 number, since 2×72452567531520² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3471103804 + ... + 3471124676.

Almost surely, 2^{72452567531520} 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 72452567531520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138287173673376).

72452567531520 is an abundant number, since it is smaller than the sum of its proper divisors (204121779815232).

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

72452567531520 is a wasteful number, since it uses less digits than its factorization.

72452567531520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21034 (or 21001 counting only the distinct ones).

The product of its (nonzero) digits is 17640000, while the sum is 54.

The spelling of 72452567531520 in words is "seventy-two trillion, four hundred fifty-two billion, five hundred sixty-seven million, five hundred thirty-one thousand, five hundred twenty".