72158016 has 112 divisors (see below), whose sum is σ = 222528384. Its totient is φ = 20207616.

The previous prime is 72157993. The next prime is 72158017. The reversal of 72158016 is 61085127.

It is a tau number, because it is divible by the number of its divisors (112).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72158017) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 70726 + ... + 71738.

Almost surely, 2^72158016 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 72158016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111264192).

72158016 is an abundant number, since it is smaller than the sum of its proper divisors (150370368).

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

72158016 is a wasteful number, since it uses less digits than its factorization.

72158016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1088 (or 1078 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 30.

The square root of 72158016 is about 8494.5874531963. The cubic root of 72158016 is about 416.3208816156.

The spelling of 72158016 in words is "seventy-two million, one hundred fifty-eight thousand, sixteen".