72528084661248 has 220 divisors, whose sum is σ = 216781828815552. Its totient is φ = 24153838571520.

The previous prime is 72528084661237. The next prime is 72528084661273. The reversal of 72528084661248 is 84216648082527.

It is a happy number.

72528084661248 is a `hidden beast` number, since 7 + 2 + 5 + 2 + 8 + 0 + 8 + 4 + 6 + 612 + 4 + 8 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 90091161 + ... + 90892647.

Almost surely, 2^{72528084661248} 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 72528084661248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108390914407776).

72528084661248 is an abundant number, since it is smaller than the sum of its proper divisors (144253744154304).

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

72528084661248 is a wasteful number, since it uses less digits than its factorization.

72528084661248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 802610 (or 802583 counting only the distinct ones).

The product of its (nonzero) digits is 82575360, while the sum is 63.

The spelling of 72528084661248 in words is "seventy-two trillion, five hundred twenty-eight billion, eighty-four million, six hundred sixty-one thousand, two hundred forty-eight".