72355120 has 40 divisors (see below), whose sum is σ = 168582960. Its totient is φ = 28880640.

The previous prime is 72355093. The next prime is 72355139. The reversal of 72355120 is 2155327.

It is a tau number, because it is divible by the number of its divisors (40).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 65775 + ... + 66865.

It is an arithmetic number, because the mean of its divisors is an integer number (4214574).

Almost surely, 2^72355120 is an apocalyptic number.

It is an amenable number.

72355120 is an abundant number, since it is smaller than the sum of its proper divisors (96227840).

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

72355120 is a wasteful number, since it uses less digits than its factorization.

72355120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1933 (or 1927 counting only the distinct ones).

The product of its (nonzero) digits is 2100, while the sum is 25.

The square root of 72355120 is about 8506.1812818679. The cubic root of 72355120 is about 416.6996055738.

The spelling of 72355120 in words is "seventy-two million, three hundred fifty-five thousand, one hundred twenty".