67020072 has 64 divisors (see below), whose sum is σ = 192184320. Its totient is φ = 19078848.

The previous prime is 67020053. The next prime is 67020077. The reversal of 67020072 is 27002076.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (67020077) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 61113 + ... + 62199.

It is an arithmetic number, because the mean of its divisors is an integer number (3002880).

Almost surely, 2^67020072 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 67020072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96092160).

67020072 is an abundant number, since it is smaller than the sum of its proper divisors (125164248).

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

67020072 is a wasteful number, since it uses less digits than its factorization.

67020072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1470 (or 1466 counting only the distinct ones).

The product of its (nonzero) digits is 1176, while the sum is 24.

The square root of 67020072 is about 8186.5787726009. The cubic root of 67020072 is about 406.1953648972.

The spelling of 67020072 in words is "sixty-seven million, twenty thousand, seventy-two".