72610203600 has 480 divisors, whose sum is σ = 284884682880. Its totient is φ = 17418240000.

The previous prime is 72610203563. The next prime is 72610203619. The reversal of 72610203600 is 630201627.

It is a happy number.

72610203600 is a `hidden beast` number, since 7 + 26 + 10 + 20 + 3 + 600 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 11520450 + ... + 11526750.

It is an arithmetic number, because the mean of its divisors is an integer number (593509756).

Almost surely, 2^72610203600 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 72610203600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142442341440).

72610203600 is an abundant number, since it is smaller than the sum of its proper divisors (212274479280).

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

72610203600 is a wasteful number, since it uses less digits than its factorization.

72610203600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6436 (or 6419 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

The spelling of 72610203600 in words is "seventy-two billion, six hundred ten million, two hundred three thousand, six hundred".