67266072 has 64 divisors (see below), whose sum is σ = 187776000. Its totient is φ = 22311072.

The previous prime is 67266013. The next prime is 67266079. The reversal of 67266072 is 27066276.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

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 (67266079) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 50973 + ... + 52275.

It is an arithmetic number, because the mean of its divisors is an integer number (2934000).

Almost surely, 2^67266072 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 67266072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93888000).

67266072 is an abundant number, since it is smaller than the sum of its proper divisors (120509928).

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

67266072 is a wasteful number, since it uses less digits than its factorization.

67266072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1557 (or 1547 counting only the distinct ones).

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

The square root of 67266072 is about 8201.5896020223. The cubic root of 67266072 is about 406.6917438028.

The spelling of 67266072 in words is "sixty-seven million, two hundred sixty-six thousand, seventy-two".