72615573120 has 192 divisors, whose sum is σ = 239724145440. Its totient is φ = 18696007680.

The previous prime is 72615573089. The next prime is 72615573131. The reversal of 72615573120 is 2137551627.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (192).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1592235 + ... + 1637205.

Almost surely, 2^72615573120 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 72615573120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119862072720).

72615573120 is an abundant number, since it is smaller than the sum of its proper divisors (167108572320).

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

72615573120 is a wasteful number, since it uses less digits than its factorization.

72615573120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45051 (or 45010 counting only the distinct ones).

The product of its (nonzero) digits is 88200, while the sum is 39.

The spelling of 72615573120 in words is "seventy-two billion, six hundred fifteen million, five hundred seventy-three thousand, one hundred twenty".