72538340 has 24 divisors (see below), whose sum is σ = 174092352. Its totient is φ = 24870240.

The previous prime is 72538331. The next prime is 72538369. The reversal of 72538340 is 4383527.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 72538297 and 72538306.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 258926 + ... + 259205.

It is an arithmetic number, because the mean of its divisors is an integer number (7253848).

Almost surely, 2^72538340 is an apocalyptic number.

72538340 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

72538340 is an abundant number, since it is smaller than the sum of its proper divisors (101554012).

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

72538340 is a wasteful number, since it uses less digits than its factorization.

72538340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 518147 (or 518145 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 32.

The square root of 72538340 is about 8516.9442877126. The cubic root of 72538340 is about 417.0510358935.

The spelling of 72538340 in words is "seventy-two million, five hundred thirty-eight thousand, three hundred forty".