72075120 has 120 divisors (see below), whose sum is σ = 242078256. Its totient is φ = 17731584.

The previous prime is 72075119. The next prime is 72075127. The reversal of 72075120 is 2157027.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72075127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 39672 + ... + 41448.

Almost surely, 2^72075120 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 72075120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121039128).

72075120 is an abundant number, since it is smaller than the sum of its proper divisors (170003136).

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

72075120 is a wasteful number, since it uses less digits than its factorization.

72075120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1819 (or 1800 counting only the distinct ones).

The product of its (nonzero) digits is 980, while the sum is 24.

The square root of 72075120 is about 8489.7067087150. The cubic root of 72075120 is about 416.1613957085.

The spelling of 72075120 in words is "seventy-two million, seventy-five thousand, one hundred twenty".