72772134 has 32 divisors (see below), whose sum is σ = 148711680. Its totient is φ = 23733600.

The previous prime is 72772123. The next prime is 72772153. The reversal of 72772134 is 43127727.

It is a junction number, because it is equal to n+sod(n) for n = 72772095 and 72772104.

It is a congruent number.

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, 109764 + ... + 110424.

It is an arithmetic number, because the mean of its divisors is an integer number (4647240).

Almost surely, 2^72772134 is an apocalyptic number.

72772134 is an abundant number, since it is smaller than the sum of its proper divisors (75939546).

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

72772134 is a wasteful number, since it uses less digits than its factorization.

72772134 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1036.

The product of its digits is 16464, while the sum is 33.

The square root of 72772134 is about 8530.6584739984. The cubic root of 72772134 is about 417.4986128296.

The spelling of 72772134 in words is "seventy-two million, seven hundred seventy-two thousand, one hundred thirty-four".