72083202048 has 896 divisors, whose sum is σ = 261582773760. Its totient is φ = 19322634240.

The previous prime is 72083202031. The next prime is 72083202071. The reversal of 72083202048 is 84020238027.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1360060390 + ... + 1360060442.

It is an arithmetic number, because the mean of its divisors is an integer number (291945060).

Almost surely, 2^72083202048 is an apocalyptic number.

72083202048 is a gapful number since it is divisible by the number (78) 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 72083202048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130791386880).

72083202048 is an abundant number, since it is smaller than the sum of its proper divisors (189499571712).

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

72083202048 is a wasteful number, since it uses less digits than its factorization.

72083202048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 155 (or 125 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 36.

The spelling of 72083202048 in words is "seventy-two billion, eighty-three million, two hundred two thousand, forty-eight".