72182634 has 64 divisors (see below), whose sum is σ = 158505600. Its totient is φ = 21835008.

The previous prime is 72182611. The next prime is 72182641. The reversal of 72182634 is 43628127.

It is a junction number, because it is equal to n+sod(n) for n = 72182595 and 72182604.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 459684 + ... + 459840.

It is an arithmetic number, because the mean of its divisors is an integer number (2476650).

Almost surely, 2^72182634 is an apocalyptic number.

72182634 is a gapful number since it is divisible by the number (74) formed by its first and last digit.

72182634 is an abundant number, since it is smaller than the sum of its proper divisors (86322966).

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

72182634 is a wasteful number, since it uses less digits than its factorization.

72182634 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 327.

The product of its digits is 16128, while the sum is 33.

The square root of 72182634 is about 8496.0363699787. The cubic root of 72182634 is about 416.3682213417.

The spelling of 72182634 in words is "seventy-two million, one hundred eighty-two thousand, six hundred thirty-four".