67925520 has 320 divisors, whose sum is σ = 262483200. Its totient is φ = 16035840.

The previous prime is 67925519. The next prime is 67925527. The reversal of 67925520 is 2552976.

It is a super-2 number, since 2×67925520² = 9227752534540800, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (67925527) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1151251 + ... + 1151309.

It is an arithmetic number, because the mean of its divisors is an integer number (820260).

Almost surely, 2^67925520 is an apocalyptic number.

67925520 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 67925520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131241600).

67925520 is an abundant number, since it is smaller than the sum of its proper divisors (194557680).

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

67925520 is a wasteful number, since it uses less digits than its factorization.

67925520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 135 (or 123 counting only the distinct ones).

The product of its (nonzero) digits is 37800, while the sum is 36.

The square root of 67925520 is about 8241.6940006288. The cubic root of 67925520 is about 408.0164353241.

The spelling of 67925520 in words is "sixty-seven million, nine hundred twenty-five thousand, five hundred twenty".