72124360 has 64 divisors (see below), whose sum is σ = 202331520. Its totient is φ = 22479360.

The previous prime is 72124357. The next prime is 72124369. The reversal of 72124360 is 6342127.

72124360 = T₄₈₀ + T₄₈₁ + ... + T₈₁₅.

It is not an unprimeable number, because it can be changed into a prime (72124369) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8629 + ... + 14788.

It is an arithmetic number, because the mean of its divisors is an integer number (3161430).

Almost surely, 2^72124360 is an apocalyptic number.

72124360 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

72124360 is an abundant number, since it is smaller than the sum of its proper divisors (130207160).

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

72124360 is a wasteful number, since it uses less digits than its factorization.

72124360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23446 (or 23442 counting only the distinct ones).

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

The square root of 72124360 is about 8492.6061959801. The cubic root of 72124360 is about 416.2561446426.

Adding to 72124360 its reverse (6342127), we get a palindrome (78466487).

The spelling of 72124360 in words is "seventy-two million, one hundred twenty-four thousand, three hundred sixty".