67372740 has 36 divisors (see below), whose sum is σ = 204364524. Its totient is φ = 17966016.

The previous prime is 67372693. The next prime is 67372741. The reversal of 67372740 is 4727376.

It can be written as a sum of positive squares in 2 ways, for example, as 7650756 + 59721984 = 2766^2 + 7728^2 .

It is a tau number, because it is divible by the number of its divisors (36).

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

It is a junction number, because it is equal to n+sod(n) for n = 67372695 and 67372704.

It is not an unprimeable number, because it can be changed into a prime (67372741) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 186967 + ... + 187326.

Almost surely, 2^67372740 is an apocalyptic number.

67372740 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

67372740 is an abundant number, since it is smaller than the sum of its proper divisors (136991784).

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

67372740 is a wasteful number, since it uses less digits than its factorization.

67372740 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 374308 (or 374303 counting only the distinct ones).

The product of its (nonzero) digits is 49392, while the sum is 36.

The square root of 67372740 is about 8208.0899117882. The cubic root of 67372740 is about 406.9066024141.

The spelling of 67372740 in words is "sixty-seven million, three hundred seventy-two thousand, seven hundred forty".