72056634 has 32 divisors (see below), whose sum is σ = 155702400. Its totient is φ = 22099392.

The previous prime is 72056609. The next prime is 72056653. The reversal of 72056634 is 43665027.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 72056595 and 72056604.

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, 25899 + ... + 28545.

It is an arithmetic number, because the mean of its divisors is an integer number (4865700).

Almost surely, 2^72056634 is an apocalyptic number.

72056634 is an abundant number, since it is smaller than the sum of its proper divisors (83645766).

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

72056634 is a wasteful number, since it uses less digits than its factorization.

72056634 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3014.

The product of its (nonzero) digits is 30240, while the sum is 33.

The square root of 72056634 is about 8488.6179087058. The cubic root of 72056634 is about 416.1258133079.

It can be divided in two parts, 720566 and 34, that added together give a triangular number (720600 = T₁₂₀₀).

The spelling of 72056634 in words is "seventy-two million, fifty-six thousand, six hundred thirty-four".