72442040 has 128 divisors (see below), whose sum is σ = 189112320. Its totient is φ = 24729600.

The previous prime is 72442037. The next prime is 72442067. The reversal of 72442040 is 4024427.

It is a junction number, because it is equal to n+sod(n) for n = 72441997 and 72442015.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 641024 + ... + 641136.

It is an arithmetic number, because the mean of its divisors is an integer number (1477440).

Almost surely, 2^72442040 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 72442040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94556160).

72442040 is an abundant number, since it is smaller than the sum of its proper divisors (116670280).

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

72442040 is a wasteful number, since it uses less digits than its factorization.

72442040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 213 (or 209 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 23.

The square root of 72442040 is about 8511.2889740626. The cubic root of 72442040 is about 416.8663988194.

Adding to 72442040 its reverse (4024427), we get a palindrome (76466467).

The spelling of 72442040 in words is "seventy-two million, four hundred forty-two thousand, forty".