72786306 has 32 divisors (see below), whose sum is σ = 152523648. Its totient is φ = 23112320.

The previous prime is 72786293. The next prime is 72786341. The reversal of 72786306 is 60368727.

It is a super-2 number, since 2×72786306² = 10595692682251272, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 37840 + ... + 39716.

It is an arithmetic number, because the mean of its divisors is an integer number (4766364).

Almost surely, 2^72786306 is an apocalyptic number.

72786306 is an abundant number, since it is smaller than the sum of its proper divisors (79737342).

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

72786306 is a wasteful number, since it uses less digits than its factorization.

72786306 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2186.

The product of its (nonzero) digits is 84672, while the sum is 39.

The square root of 72786306 is about 8531.4890845620. The cubic root of 72786306 is about 417.5257129753.

The spelling of 72786306 in words is "seventy-two million, seven hundred eighty-six thousand, three hundred six".