72069120 has 312 divisors, whose sum is σ = 276003936. Its totient is φ = 17301504.

The previous prime is 72069119. The next prime is 72069131. The reversal of 72069120 is 2196027.

It is a zygodrome in base 16.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3133429 + ... + 3133451.

It is an arithmetic number, because the mean of its divisors is an integer number (884628).

Almost surely, 2^72069120 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 72069120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138001968).

72069120 is an abundant number, since it is smaller than the sum of its proper divisors (203934816).

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

72069120 is a wasteful number, since it uses less digits than its factorization.

72069120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 75 (or 50 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 27.

The square root of 72069120 is about 8489.3533322627. The cubic root of 72069120 is about 416.1498473976.

The spelling of 72069120 in words is "seventy-two million, sixty-nine thousand, one hundred twenty".