67627152 has 60 divisors (see below), whose sum is σ = 192854844. Its totient is φ = 22114560.

The previous prime is 67627129. The next prime is 67627171. The reversal of 67627152 is 25172676.

It can be written as a sum of positive squares in 2 ways, for example, as 60466176 + 7160976 = 7776^2 + 2676^2 .

It is a super-2 number, since 2×67627152² = 9146863375262208, which contains 22 as substring.

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

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

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3202 + ... + 12062.

Almost surely, 2^67627152 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 67627152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96427422).

67627152 is an abundant number, since it is smaller than the sum of its proper divisors (125227692).

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

67627152 is a wasteful number, since it uses less digits than its factorization.

67627152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8928 (or 8919 counting only the distinct ones).

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

The square root of 67627152 is about 8223.5729461105. The cubic root of 67627152 is about 407.4181440713.

The spelling of 67627152 in words is "sixty-seven million, six hundred twenty-seven thousand, one hundred fifty-two".