72413040 has 80 divisors (see below), whose sum is σ = 256555008. Its totient is φ = 16551168.

The previous prime is 72412973. The next prime is 72413051. The reversal of 72413040 is 4031427.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 72412998 and 72413016.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 19872 + ... + 23231.

Almost surely, 2^72413040 is an apocalyptic number.

72413040 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

72413040 is an abundant number, since it is smaller than the sum of its proper divisors (184141968).

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

72413040 is a wasteful number, since it uses less digits than its factorization.

72413040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43126 (or 43120 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 21.

The square root of 72413040 is about 8509.5851837795. The cubic root of 72413040 is about 416.8107647378.

Adding to 72413040 its reverse (4031427), we get a palindrome (76444467).

The spelling of 72413040 in words is "seventy-two million, four hundred thirteen thousand, forty".