67126752 has 192 divisors, whose sum is σ = 244339200. Its totient is φ = 17418240.

The previous prime is 67126747. The next prime is 67126777. The reversal of 67126752 is 25762176.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 66024 + ... + 67032.

It is an arithmetic number, because the mean of its divisors is an integer number (1272600).

Almost surely, 2^67126752 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 67126752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122169600).

67126752 is an abundant number, since it is smaller than the sum of its proper divisors (177212448).

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

67126752 is a wasteful number, since it uses less digits than its factorization.

67126752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1046 (or 1032 counting only the distinct ones).

The product of its digits is 35280, while the sum is 36.

The square root of 67126752 is about 8193.0917241295. The cubic root of 67126752 is about 406.4107727526.

The spelling of 67126752 in words is "sixty-seven million, one hundred twenty-six thousand, seven hundred fifty-two".