73070901120 has 384 divisors, whose sum is σ = 271564963200. Its totient is φ = 16663449600.

The previous prime is 73070901097. The next prime is 73070901179. The reversal of 73070901120 is 2110907037.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (30).

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, 69524595 + ... + 69525645.

It is an arithmetic number, because the mean of its divisors is an integer number (707200425).

Almost surely, 2^73070901120 is an apocalyptic number.

73070901120 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 73070901120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135782481600).

73070901120 is an abundant number, since it is smaller than the sum of its proper divisors (198494062080).

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

73070901120 is a wasteful number, since it uses less digits than its factorization.

73070901120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1826 (or 1807 counting only the distinct ones).

The product of its (nonzero) digits is 2646, while the sum is 30.

The spelling of 73070901120 in words is "seventy-three billion, seventy million, nine hundred one thousand, one hundred twenty".