72414120 has 64 divisors (see below), whose sum is σ = 226696320. Its totient is φ = 18470144.

The previous prime is 72414103. The next prime is 72414161. The reversal of 72414120 is 2141427.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10359 + ... + 15878.

It is an arithmetic number, because the mean of its divisors is an integer number (3542130).

Almost surely, 2^72414120 is an apocalyptic number.

It is an amenable number.

72414120 is an abundant number, since it is smaller than the sum of its proper divisors (154282200).

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

72414120 is a wasteful number, since it uses less digits than its factorization.

72414120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26274 (or 26270 counting only the distinct ones).

The product of its (nonzero) digits is 448, while the sum is 21.

The square root of 72414120 is about 8509.6486413952. The cubic root of 72414120 is about 416.8128368940.

Adding to 72414120 its reverse (2141427), we get a palindrome (74555547).

The spelling of 72414120 in words is "seventy-two million, four hundred fourteen thousand, one hundred twenty".