72140509 has 16 divisors (see below), whose sum is σ = 84049920. Its totient is φ = 60643440.

The previous prime is 72140483. The next prime is 72140513. The reversal of 72140509 is 90504127.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 72140509 - 2¹¹ = 72138461 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72140599) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 105282 + ... + 105964.

It is an arithmetic number, because the mean of its divisors is an integer number (5253120).

Almost surely, 2^72140509 is an apocalyptic number.

72140509 is a gapful number since it is divisible by the number (79) formed by its first and last digit.

It is an amenable number.

72140509 is a deficient number, since it is larger than the sum of its proper divisors (11909411).

72140509 is a wasteful number, since it uses less digits than its factorization.

72140509 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 960.

The product of its (nonzero) digits is 2520, while the sum is 28.

The square root of 72140509 is about 8493.5569109767. The cubic root of 72140509 is about 416.2872095923.

The spelling of 72140509 in words is "seventy-two million, one hundred forty thousand, five hundred nine".