72450120 has 128 divisors (see below), whose sum is σ = 228096000. Its totient is φ = 18385920.

The previous prime is 72450101. The next prime is 72450139. The reversal of 72450120 is 2105427.

It is an interprime number because it is at equal distance from previous prime (72450101) and next prime (72450139).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 379225 + ... + 379415.

It is an arithmetic number, because the mean of its divisors is an integer number (1782000).

Almost surely, 2^72450120 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 72450120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114048000).

72450120 is an abundant number, since it is smaller than the sum of its proper divisors (155645880).

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

72450120 is a wasteful number, since it uses less digits than its factorization.

72450120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 343 (or 339 counting only the distinct ones).

The product of its (nonzero) digits is 560, while the sum is 21.

The square root of 72450120 is about 8511.7636245375. The cubic root of 72450120 is about 416.8818969808.

Adding to 72450120 its reverse (2105427), we get a palindrome (74555547).

The spelling of 72450120 in words is "seventy-two million, four hundred fifty thousand, one hundred twenty".