72667134 has 72 divisors (see below), whose sum is σ = 170105832. Its totient is φ = 22407840.

The previous prime is 72667117. The next prime is 72667157. The reversal of 72667134 is 43176627.

Its product of digits (42336) is a multiple of the sum of its prime divisors (288).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 344289 + ... + 344499.

It is an arithmetic number, because the mean of its divisors is an integer number (2362581).

Almost surely, 2^72667134 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 72667134, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85052916).

72667134 is an abundant number, since it is smaller than the sum of its proper divisors (97438698).

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

72667134 is a wasteful number, since it uses less digits than its factorization.

72667134 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 310 (or 288 counting only the distinct ones).

The product of its digits is 42336, while the sum is 36.

The square root of 72667134 is about 8524.5019795880. The cubic root of 72667134 is about 417.2977188309.

It can be divided in two parts, 7266 and 7134, that added together give a square (14400 = 120²).

The spelling of 72667134 in words is "seventy-two million, six hundred sixty-seven thousand, one hundred thirty-four".