67972464 has 60 divisors (see below), whose sum is σ = 217407216. Its totient is φ = 19420416.

The previous prime is 67972453. The next prime is 67972493. The reversal of 67972464 is 46427976.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 32709 + ... + 34724.

Almost surely, 2^67972464 is an apocalyptic number.

It is an amenable number.

67972464 is an abundant number, since it is smaller than the sum of its proper divisors (149434752).

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

67972464 is a wasteful number, since it uses less digits than its factorization.

67972464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67454 (or 67445 counting only the distinct ones).

The product of its digits is 508032, while the sum is 45.

The square root of 67972464 is about 8244.5414669343. The cubic root of 67972464 is about 408.1104084128.

It can be divided in two parts, 6797 and 2464, that added together give a cube (9261 = 21³).

The spelling of 67972464 in words is "sixty-seven million, nine hundred seventy-two thousand, four hundred sixty-four".