540072335 has 16 divisors (see below), whose sum is σ = 713619072. Its totient is φ = 389104800.

The previous prime is 540072329. The next prime is 540072343. The reversal of 540072335 is 533270045.

It is not a de Polignac number, because 540072335 - 2²⁴ = 523295119 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 540072298 and 540072307.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 40001 + ... + 51770.

It is an arithmetic number, because the mean of its divisors is an integer number (44601192).

Almost surely, 2^540072335 is an apocalyptic number.

540072335 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

540072335 is a deficient number, since it is larger than the sum of its proper divisors (173546737).

540072335 is a wasteful number, since it uses less digits than its factorization.

540072335 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 91894.

The product of its (nonzero) digits is 12600, while the sum is 29.

The square root of 540072335 is about 23239.4564265174. The cubic root of 540072335 is about 814.3616439844.

The spelling of 540072335 in words is "five hundred forty million, seventy-two thousand, three hundred thirty-five".