72527495040 has 1536 divisors, whose sum is σ = 351630720000. Its totient is φ = 13888143360.

The previous prime is 72527495021. The next prime is 72527495041. The reversal of 72527495040 is 4059472527.

72527495040 is a `hidden beast` number, since 72 + 5 + 2 + 74 + 9 + 504 + 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 (72527495041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 121080661 + ... + 121081259.

It is an arithmetic number, because the mean of its divisors is an integer number (228926250).

Almost surely, 2^72527495040 is an apocalyptic number.

72527495040 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 72527495040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175815360000).

72527495040 is an abundant number, since it is smaller than the sum of its proper divisors (279103224960).

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

72527495040 is a wasteful number, since it uses less digits than its factorization.

72527495040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 665 (or 640 counting only the distinct ones).

The product of its (nonzero) digits is 705600, while the sum is 45.

The spelling of 72527495040 in words is "seventy-two billion, five hundred twenty-seven million, four hundred ninety-five thousand, forty".