72073566292 has 144 divisors (see below), whose sum is σ = 161546047488. Its totient is φ = 27880796160.

The previous prime is 72073566289. The next prime is 72073566349. The reversal of 72073566292 is 29266537027.

It is a Harshad number since it is a multiple of its sum of digits (49).

It is a congruent number.

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, 22973748 + ... + 22976884.

It is an arithmetic number, because the mean of its divisors is an integer number (1121847552).

Almost surely, 2^72073566292 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 72073566292, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80773023744).

72073566292 is an abundant number, since it is smaller than the sum of its proper divisors (89472481196).

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

72073566292 is a wasteful number, since it uses less digits than its factorization.

72073566292 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3366 (or 3357 counting only the distinct ones).

The product of its (nonzero) digits is 1905120, while the sum is 49.

The spelling of 72073566292 in words is "seventy-two billion, seventy-three million, five hundred sixty-six thousand, two hundred ninety-two".