72086525280 has 1152 divisors, whose sum is σ = 328107386880. Its totient is φ = 13952286720.

The previous prime is 72086525243. The next prime is 72086525281. The reversal of 72086525280 is 8252568027.

72086525280 is a `hidden beast` number, since 7 + 20 + 86 + 525 + 28 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72086525281) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 314788206 + ... + 314788434.

It is an arithmetic number, because the mean of its divisors is an integer number (284815440).

Almost surely, 2^72086525280 is an apocalyptic number.

72086525280 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 72086525280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164053693440).

72086525280 is an abundant number, since it is smaller than the sum of its proper divisors (256020861600).

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

72086525280 is a wasteful number, since it uses less digits than its factorization.

72086525280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 452 (or 441 counting only the distinct ones).

The product of its (nonzero) digits is 537600, while the sum is 45.

The spelling of 72086525280 in words is "seventy-two billion, eighty-six million, five hundred twenty-five thousand, two hundred eighty".