72120408 has 32 divisors (see below), whose sum is σ = 182996160. Its totient is φ = 23680800.

The previous prime is 72120407. The next prime is 72120421. The reversal of 72120408 is 80402127.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72120407) 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 7 ways as a sum of consecutive naturals, for example, 20818 + ... + 24033.

It is an arithmetic number, because the mean of its divisors is an integer number (5718630).

Almost surely, 2^72120408 is an apocalyptic number.

It is an amenable number.

72120408 is an abundant number, since it is smaller than the sum of its proper divisors (110875752).

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

72120408 is a wasteful number, since it uses less digits than its factorization.

72120408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44927 (or 44923 counting only the distinct ones).

The product of its (nonzero) digits is 896, while the sum is 24.

The square root of 72120408 is about 8492.3735198118. The cubic root of 72120408 is about 416.2485416897.

The spelling of 72120408 in words is "seventy-two million, one hundred twenty thousand, four hundred eight".