72432120 has 64 divisors (see below), whose sum is σ = 224317440. Its totient is φ = 18691200.

The previous prime is 72432103. The next prime is 72432137. The reversal of 72432120 is 2123427.

It is an interprime number because it is at equal distance from previous prime (72432103) and next prime (72432137).

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 6016 + ... + 13455.

It is an arithmetic number, because the mean of its divisors is an integer number (3504960).

Almost surely, 2^72432120 is an apocalyptic number.

It is an amenable number.

72432120 is an abundant number, since it is smaller than the sum of its proper divisors (151885320).

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

72432120 is a wasteful number, since it uses less digits than its factorization.

72432120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19516 (or 19512 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 21.

The square root of 72432120 is about 8510.7061986653. The cubic root of 72432120 is about 416.8473697978.

Adding to 72432120 its reverse (2123427), we get a palindrome (74555547).

The spelling of 72432120 in words is "seventy-two million, four hundred thirty-two thousand, one hundred twenty".