72400048 has 30 divisors (see below), whose sum is σ = 163178916. Its totient is φ = 31028256.

The previous prime is 72400043. The next prime is 72400057. The reversal of 72400048 is 84000427.

It is a junction number, because it is equal to n+sod(n) for n = 72399995 and 72400031.

It is not an unprimeable number, because it can be changed into a prime (72400043) 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 5 ways as a sum of consecutive naturals, for example, 45390 + ... + 46957.

Almost surely, 2^72400048 is an apocalyptic number.

It is an amenable number.

72400048 is an abundant number, since it is smaller than the sum of its proper divisors (90778868).

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

72400048 is a wasteful number, since it uses less digits than its factorization.

72400048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 92369 (or 92356 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 25.

The square root of 72400048 is about 8508.8217750756. The cubic root of 72400048 is about 416.7858358514.

The spelling of 72400048 in words is "seventy-two million, four hundred thousand, forty-eight".