72073120 has 144 divisors (see below), whose sum is σ = 205548840. Its totient is φ = 23783424.

The previous prime is 72073093. The next prime is 72073123. The reversal of 72073120 is 2137027.

It can be written as a sum of positive squares in 4 ways, for example, as 40398736 + 31674384 = 6356^2 + 5628^2 .

It is a junction number, because it is equal to n+sod(n) for n = 72073091 and 72073100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72073123) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 227202 + ... + 227518.

Almost surely, 2^72073120 is an apocalyptic number.

72073120 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 72073120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102774420).

72073120 is an abundant number, since it is smaller than the sum of its proper divisors (133475720).

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

72073120 is a wasteful number, since it uses less digits than its factorization.

72073120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 375 (or 360 counting only the distinct ones).

The product of its (nonzero) digits is 588, while the sum is 22.

The square root of 72073120 is about 8489.5889181986. The cubic root of 72073120 is about 416.1575463427.

The spelling of 72073120 in words is "seventy-two million, seventy-three thousand, one hundred twenty".