72034773720 has 1024 divisors, whose sum is σ = 292626432000. Its totient is φ = 13766049792.

The previous prime is 72034773689. The next prime is 72034773731. The reversal of 72034773720 is 2737743027.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 809379436 + ... + 809379524.

It is an arithmetic number, because the mean of its divisors is an integer number (285768000).

Almost surely, 2^72034773720 is an apocalyptic number.

72034773720 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 72034773720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146313216000).

72034773720 is an abundant number, since it is smaller than the sum of its proper divisors (220591658280).

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

72034773720 is a wasteful number, since it uses less digits than its factorization.

72034773720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 272 (or 268 counting only the distinct ones).

The product of its (nonzero) digits is 345744, while the sum is 42.

The spelling of 72034773720 in words is "seventy-two billion, thirty-four million, seven hundred seventy-three thousand, seven hundred twenty".