72408375 has 48 divisors (see below), whose sum is σ = 140597184. Its totient is φ = 35640000.

The previous prime is 72408311. The next prime is 72408377. The reversal of 72408375 is 57380427.

It is not a de Polignac number, because 72408375 - 2⁶ = 72408311 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72408377) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 12150 + ... + 17100.

It is an arithmetic number, because the mean of its divisors is an integer number (2929108).

Almost surely, 2^72408375 is an apocalyptic number.

72408375 is a gapful number since it is divisible by the number (75) formed by its first and last digit.

72408375 is a deficient number, since it is larger than the sum of its proper divisors (68188809).

72408375 is a wasteful number, since it uses less digits than its factorization.

72408375 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4985 (or 4972 counting only the distinct ones).

The product of its (nonzero) digits is 47040, while the sum is 36.

The square root of 72408375 is about 8509.3110766971. The cubic root of 72408375 is about 416.8018139376.

The spelling of 72408375 in words is "seventy-two million, four hundred eight thousand, three hundred seventy-five".