72540405 has 48 divisors (see below), whose sum is σ = 144303744. Its totient is φ = 33022080.

The previous prime is 72540371. The next prime is 72540409. The reversal of 72540405 is 50404527.

72540405 is a `hidden beast` number, since 7 + 254 + 0 + 405 = 666.

It is not a de Polignac number, because 72540405 - 2¹⁴ = 72524021 is a prime.

It is a super-2 number, since 2×72540405² = 10524220715128050, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72540409) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 132342 + ... + 132888.

It is an arithmetic number, because the mean of its divisors is an integer number (3006328).

Almost surely, 2^72540405 is an apocalyptic number.

It is an amenable number.

72540405 is a deficient number, since it is larger than the sum of its proper divisors (71763339).

72540405 is a wasteful number, since it uses less digits than its factorization.

72540405 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 986 (or 983 counting only the distinct ones).

The product of its (nonzero) digits is 5600, while the sum is 27.

The square root of 72540405 is about 8517.0655157748. The cubic root of 72540405 is about 417.0549933511.

The spelling of 72540405 in words is "seventy-two million, five hundred forty thousand, four hundred five".