72671136 has 48 divisors (see below), whose sum is σ = 191872800. Its totient is φ = 24082688.

The previous prime is 72671113. The next prime is 72671149. The reversal of 72671136 is 63117627.

It is a tau number, because it is divible by the number of its divisors (48).

It is a junction number, because it is equal to n+sod(n) for n = 72671097 and 72671106.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 15070 + ... + 19298.

It is an arithmetic number, because the mean of its divisors is an integer number (3997350).

Almost surely, 2^72671136 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 72671136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95936400).

72671136 is an abundant number, since it is smaller than the sum of its proper divisors (119201664).

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

72671136 is a wasteful number, since it uses less digits than its factorization.

72671136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4421 (or 4413 counting only the distinct ones).

The product of its digits is 10584, while the sum is 33.

The square root of 72671136 is about 8524.7367114768. The cubic root of 72671136 is about 417.3053793083.

The spelling of 72671136 in words is "seventy-two million, six hundred seventy-one thousand, one hundred thirty-six".