67554720 has 144 divisors (see below), whose sum is σ = 236107872. Its totient is φ = 17579520.

The previous prime is 67554691. The next prime is 67554727. The reversal of 67554720 is 2745576.

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 not an unprimeable number, because it can be changed into a prime (67554727) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 61375 + ... + 62465.

It is an arithmetic number, because the mean of its divisors is an integer number (1639638).

Almost surely, 2^67554720 is an apocalyptic number.

67554720 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 67554720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118053936).

67554720 is an abundant number, since it is smaller than the sum of its proper divisors (168553152).

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

67554720 is a wasteful number, since it uses less digits than its factorization.

67554720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1155 (or 1144 counting only the distinct ones).

The product of its (nonzero) digits is 58800, while the sum is 36.

The square root of 67554720 is about 8219.1678410895. The cubic root of 67554720 is about 407.2726371656.

The spelling of 67554720 in words is "sixty-seven million, five hundred fifty-four thousand, seven hundred twenty".