72431040 has 224 divisors, whose sum is σ = 264810240. Its totient is φ = 16634880.

The previous prime is 72430997. The next prime is 72431057. The reversal of 72431040 is 4013427.

It is a junction number, because it is equal to n+sod(n) for n = 72430998 and 72431016.

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, 3812151 + ... + 3812169.

Almost surely, 2^72431040 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 72431040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132405120).

72431040 is an abundant number, since it is smaller than the sum of its proper divisors (192379200).

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

72431040 is a wasteful number, since it uses less digits than its factorization.

72431040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 88 (or 40 counting only the distinct ones).

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

The square root of 72431040 is about 8510.6427489350. The cubic root of 72431040 is about 416.8452979849.

Adding to 72431040 its reverse (4013427), we get a palindrome (76444467).

The spelling of 72431040 in words is "seventy-two million, four hundred thirty-one thousand, forty".