72325659240 has 512 divisors, whose sum is σ = 258828825600. Its totient is φ = 17923276800.

The previous prime is 72325659227. The next prime is 72325659257. The reversal of 72325659240 is 4295652327.

72325659240 is a `hidden beast` number, since 7 + 2 + 3 + 2 + 56 + 592 + 4 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 180363040 + ... + 180363440.

It is an arithmetic number, because the mean of its divisors is an integer number (505525050).

Almost surely, 2^72325659240 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 72325659240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129414412800).

72325659240 is an abundant number, since it is smaller than the sum of its proper divisors (186503166360).

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

72325659240 is a wasteful number, since it uses less digits than its factorization.

72325659240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 634 (or 624 counting only the distinct ones).

The product of its (nonzero) digits is 907200, while the sum is 45.

The spelling of 72325659240 in words is "seventy-two billion, three hundred twenty-five million, six hundred fifty-nine thousand, two hundred forty".