72033709860 has 576 divisors, whose sum is σ = 269577584640. Its totient is φ = 15799587840.

The previous prime is 72033709793. The next prime is 72033709907. The reversal of 72033709860 is 6890733027.

It is a happy number.

It is a super-2 number, since 2×72033709860² (a number of 23 digits) contains 22 as substring.

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 191 ways as a sum of consecutive naturals, for example, 176121336 + ... + 176121744.

It is an arithmetic number, because the mean of its divisors is an integer number (468016640).

Almost surely, 2^72033709860 is an apocalyptic number.

72033709860 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 72033709860, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134788792320).

72033709860 is an abundant number, since it is smaller than the sum of its proper divisors (197543874780).

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

72033709860 is a wasteful number, since it uses less digits than its factorization.

72033709860 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 638 (or 624 counting only the distinct ones).

The product of its (nonzero) digits is 381024, while the sum is 45.

The spelling of 72033709860 in words is "seventy-two billion, thirty-three million, seven hundred nine thousand, eight hundred sixty".