72233429760 has 432 divisors, whose sum is σ = 265924923264. Its totient is φ = 18039963648.

The previous prime is 72233429717. The next prime is 72233429791. The reversal of 72233429760 is 6792433227.

72233429760 is a `hidden beast` number, since 7 + 22 + 334 + 297 + 6 + 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 47 ways as a sum of consecutive naturals, for example, 45629929 + ... + 45631511.

It is an arithmetic number, because the mean of its divisors is an integer number (615566952).

Almost surely, 2^72233429760 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 72233429760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132962461632).

72233429760 is an abundant number, since it is smaller than the sum of its proper divisors (193691493504).

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

72233429760 is a wasteful number, since it uses less digits than its factorization.

72233429760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1860 (or 1843 counting only the distinct ones).

The product of its (nonzero) digits is 762048, while the sum is 45.

The spelling of 72233429760 in words is "seventy-two billion, two hundred thirty-three million, four hundred twenty-nine thousand, seven hundred sixty".