72140040 has 96 divisors (see below), whose sum is σ = 267958080. Its totient is φ = 16488576.

The previous prime is 72140009. The next prime is 72140053. The reversal of 72140040 is 4004127.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 72139995 and 72140022.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11794 + ... + 16833.

It is an arithmetic number, because the mean of its divisors is an integer number (2791230).

Almost surely, 2^72140040 is an apocalyptic number.

72140040 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

72140040 is an abundant number, since it is smaller than the sum of its proper divisors (195818040).

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

72140040 is a wasteful number, since it uses less digits than its factorization.

72140040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28651 (or 28644 counting only the distinct ones).

The product of its (nonzero) digits is 224, while the sum is 18.

The square root of 72140040 is about 8493.5293017685. The cubic root of 72140040 is about 416.2863074679.

Adding to 72140040 its reverse (4004127), we get a palindrome (76144167).

The spelling of 72140040 in words is "seventy-two million, one hundred forty thousand, forty".