72365124 has 72 divisors (see below), whose sum is σ = 193687200. Its totient is φ = 20946432.

The previous prime is 72365113. The next prime is 72365143. The reversal of 72365124 is 42156327.

It is a super-2 number, since 2×72365124² = 10473422343070752, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 72365091 and 72365100.

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, 33427 + ... + 35525.

It is an arithmetic number, because the mean of its divisors is an integer number (2690100).

Almost surely, 2^72365124 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 72365124, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96843600).

72365124 is an abundant number, since it is smaller than the sum of its proper divisors (121322076).

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

72365124 is a wasteful number, since it uses less digits than its factorization.

72365124 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2149 (or 2134 counting only the distinct ones).

The product of its digits is 10080, while the sum is 30.

The square root of 72365124 is about 8506.7693045010. The cubic root of 72365124 is about 416.7188093322.

The spelling of 72365124 in words is "seventy-two million, three hundred sixty-five thousand, one hundred twenty-four".