72358160 has 80 divisors (see below), whose sum is σ = 193725696. Its totient is φ = 24620544.

The previous prime is 72358151. The next prime is 72358183. The reversal of 72358160 is 6185327.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 87509 + ... + 88331.

Almost surely, 2^72358160 is an apocalyptic number.

72358160 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 72358160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96862848).

72358160 is an abundant number, since it is smaller than the sum of its proper divisors (121367536).

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

72358160 is a wasteful number, since it uses less digits than its factorization.

72358160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1000 (or 994 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 32.

The square root of 72358160 is about 8506.3599735727. The cubic root of 72358160 is about 416.7054413693.

The spelling of 72358160 in words is "seventy-two million, three hundred fifty-eight thousand, one hundred sixty".