72782406 has 24 divisors (see below), whose sum is σ = 166972104. Its totient is φ = 22833600.

The previous prime is 72782401. The next prime is 72782467. The reversal of 72782406 is 60428727.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72782401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 118620 + ... + 119231.

It is an arithmetic number, because the mean of its divisors is an integer number (6957171).

Almost surely, 2^72782406 is an apocalyptic number.

72782406 is an abundant number, since it is smaller than the sum of its proper divisors (94189698).

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

72782406 is a wasteful number, since it uses less digits than its factorization.

72782406 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 237876 (or 237873 counting only the distinct ones).

The product of its (nonzero) digits is 37632, while the sum is 36.

The square root of 72782406 is about 8531.2605164770. The cubic root of 72782406 is about 417.5182556230.

The spelling of 72782406 in words is "seventy-two million, seven hundred eighty-two thousand, four hundred six".