67048272 has 120 divisors (see below), whose sum is σ = 202386600. Its totient is φ = 20643840.

The previous prime is 67048271. The next prime is 67048277. The reversal of 67048272 is 27284076.

It can be written as a sum of positive squares in 4 ways, for example, as 5645376 + 61402896 = 2376^2 + 7836^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (67048271) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 149104 + ... + 149552.

It is an arithmetic number, because the mean of its divisors is an integer number (1686555).

Almost surely, 2^67048272 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 67048272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101193300).

67048272 is an abundant number, since it is smaller than the sum of its proper divisors (135338328).

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

67048272 is a wasteful number, since it uses less digits than its factorization.

67048272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 541 (or 532 counting only the distinct ones).

The product of its (nonzero) digits is 37632, while the sum is 36.

The square root of 67048272 is about 8188.3009226579. The cubic root of 67048272 is about 406.2523284442.

It can be divided in two parts, 670482 and 72, that multiplied together give a square (48274704 = 6948²).

The spelling of 67048272 in words is "sixty-seven million, forty-eight thousand, two hundred seventy-two".