67924752 has 80 divisors (see below), whose sum is σ = 202427520. Its totient is φ = 19224576.

The previous prime is 67924739. The next prime is 67924799. The reversal of 67924752 is 25742976.

It is a super-2 number, since 2×67924752² = 9227543868523008, which contains 22 as substring.

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 37074 + ... + 38862.

It is an arithmetic number, because the mean of its divisors is an integer number (2530344).

Almost surely, 2^67924752 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 67924752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101213760).

67924752 is an abundant number, since it is smaller than the sum of its proper divisors (134502768).

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

67924752 is a wasteful number, since it uses less digits than its factorization.

67924752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1920 (or 1914 counting only the distinct ones).

The product of its digits is 211680, while the sum is 42.

The square root of 67924752 is about 8241.6474081339. The cubic root of 67924752 is about 408.0148975721.

The spelling of 67924752 in words is "sixty-seven million, nine hundred twenty-four thousand, seven hundred fifty-two".