67972320 has 144 divisors (see below), whose sum is σ = 249867072. Its totient is φ = 16727040.

The previous prime is 67972297. The next prime is 67972349. The reversal of 67972320 is 2327976.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 16905 + ... + 20535.

It is an arithmetic number, because the mean of its divisors is an integer number (1735188).

Almost surely, 2^67972320 is an apocalyptic number.

67972320 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 67972320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124933536).

67972320 is an abundant number, since it is smaller than the sum of its proper divisors (181894752).

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

67972320 is a wasteful number, since it uses less digits than its factorization.

67972320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3665 (or 3654 counting only the distinct ones).

The product of its (nonzero) digits is 31752, while the sum is 36.

The square root of 67972320 is about 8244.5327338789. The cubic root of 67972320 is about 408.1101202179.

The spelling of 67972320 in words is "sixty-seven million, nine hundred seventy-two thousand, three hundred twenty".