72603124 has 48 divisors (see below), whose sum is σ = 151865280. Its totient is φ = 29980160.

The previous prime is 72603103. The next prime is 72603127. The reversal of 72603124 is 42130627.

It is a super-2 number, since 2×72603124² = 10542427229118752, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72603127) 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, 20019 + ... + 23365.

It is an arithmetic number, because the mean of its divisors is an integer number (3163860).

Almost surely, 2^72603124 is an apocalyptic number.

It is an amenable number.

72603124 is an abundant number, since it is smaller than the sum of its proper divisors (79262156).

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

72603124 is a wasteful number, since it uses less digits than its factorization.

72603124 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3408 (or 3406 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 25.

The square root of 72603124 is about 8520.7466808960. The cubic root of 72603124 is about 417.1751550603.

It can be divided in two parts, 72603 and 124, that added together give a palindrome (72727).

The spelling of 72603124 in words is "seventy-two million, six hundred three thousand, one hundred twenty-four".