67742100 has 54 divisors (see below), whose sum is σ = 212336670. Its totient is φ = 18064320.

The previous prime is 67742069. The next prime is 67742113. The reversal of 67742100 is 124776.

It can be written as a sum of positive squares in 3 ways, for example, as 3196944 + 64545156 = 1788^2 + 8034^2 .

It is a super-2 number, since 2×67742100² = 9177984224820000, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 36735 + ... + 38534.

Almost surely, 2^67742100 is an apocalyptic number.

67742100 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

67742100 is an abundant number, since it is smaller than the sum of its proper divisors (144594570).

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

67742100 is a wasteful number, since it uses less digits than its factorization.

67742100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 75289 (or 75279 counting only the distinct ones).

The product of its (nonzero) digits is 2352, while the sum is 27.

The square root of 67742100 is about 8230.5589117629. The cubic root of 67742100 is about 407.6488472262.

Adding to 67742100 its reverse (124776), we get a palindrome (67866876).

The spelling of 67742100 in words is "sixty-seven million, seven hundred forty-two thousand, one hundred".