72735040 has 112 divisors (see below), whose sum is σ = 208483200. Its totient is φ = 23611392.

The previous prime is 72735011. The next prime is 72735041. The reversal of 72735040 is 4053727.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72735041) 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 15 ways as a sum of consecutive naturals, for example, 41706 + ... + 43414.

Almost surely, 2^72735040 is an apocalyptic number.

72735040 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 72735040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104241600).

72735040 is an abundant number, since it is smaller than the sum of its proper divisors (135748160).

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

72735040 is a wasteful number, since it uses less digits than its factorization.

72735040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1752 (or 1742 counting only the distinct ones).

The product of its (nonzero) digits is 5880, while the sum is 28.

The square root of 72735040 is about 8528.4840387961. The cubic root of 72735040 is about 417.4276638515.

Adding to 72735040 its reverse (4053727), we get a palindrome (76788767).

The spelling of 72735040 in words is "seventy-two million, seven hundred thirty-five thousand, forty".