72286434 has 48 divisors (see below), whose sum is σ = 173440800. Its totient is φ = 21574080.

The previous prime is 72286429. The next prime is 72286457. The reversal of 72286434 is 43468227.

72286434 is a `hidden beast` number, since 7 + 2 + 2 + 8 + 643 + 4 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10542 + ... + 15990.

It is an arithmetic number, because the mean of its divisors is an integer number (3613350).

Almost surely, 2^72286434 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 72286434, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86720400).

72286434 is an abundant number, since it is smaller than the sum of its proper divisors (101154366).

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

72286434 is a wasteful number, since it uses less digits than its factorization.

72286434 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5535 (or 5532 counting only the distinct ones).

The product of its digits is 64512, while the sum is 36.

The square root of 72286434 is about 8502.1429063501. The cubic root of 72286434 is about 416.5677075567.

The spelling of 72286434 in words is "seventy-two million, two hundred eighty-six thousand, four hundred thirty-four".