67672440 has 192 divisors, whose sum is σ = 250698240. Its totient is φ = 15671040.

The previous prime is 67672439. The next prime is 67672441. The reversal of 67672440 is 4427676.

It is an interprime number because it is at equal distance from previous prime (67672439) and next prime (67672441).

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 = 67672395 and 67672404.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (67672441) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 90709 + ... + 91451.

It is an arithmetic number, because the mean of its divisors is an integer number (1305720).

Almost surely, 2^67672440 is an apocalyptic number.

67672440 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 67672440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125349120).

67672440 is an abundant number, since it is smaller than the sum of its proper divisors (183025800).

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

67672440 is a wasteful number, since it uses less digits than its factorization.

67672440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 794 (or 787 counting only the distinct ones).

The product of its (nonzero) digits is 56448, while the sum is 36.

The square root of 67672440 is about 8226.3260329262. The cubic root of 67672440 is about 407.5090692651.

The spelling of 67672440 in words is "sixty-seven million, six hundred seventy-two thousand, four hundred forty".