72413940 has 48 divisors (see below), whose sum is σ = 213433920. Its totient is φ = 18293760.

The previous prime is 72413933. The next prime is 72413941. The reversal of 72413940 is 4931427.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 72413898 and 72413907.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72413941) by changing a digit.

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, 30621 + ... + 32900.

It is an arithmetic number, because the mean of its divisors is an integer number (4446540).

Almost surely, 2^72413940 is an apocalyptic number.

It is an amenable number.

72413940 is an abundant number, since it is smaller than the sum of its proper divisors (141019980).

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

72413940 is a wasteful number, since it uses less digits than its factorization.

72413940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63552 (or 63550 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 30.

The square root of 72413940 is about 8509.6380651588. The cubic root of 72413940 is about 416.8124915361.

The spelling of 72413940 in words is "seventy-two million, four hundred thirteen thousand, nine hundred forty".