67416072 has 96 divisors (see below), whose sum is σ = 181123200. Its totient is φ = 20891520.

The previous prime is 67416071. The next prime is 67416079. The reversal of 67416072 is 27061476.

It is not an unprimeable number, because it can be changed into a prime (67416071) 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, 853329 + ... + 853407.

It is an arithmetic number, because the mean of its divisors is an integer number (1886700).

Almost surely, 2^67416072 is an apocalyptic number.

67416072 is a gapful number since it is divisible by the number (62) 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 67416072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90561600).

67416072 is an abundant number, since it is smaller than the sum of its proper divisors (113707128).

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

67416072 is a wasteful number, since it uses less digits than its factorization.

67416072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 187 (or 152 counting only the distinct ones).

The product of its (nonzero) digits is 14112, while the sum is 33.

The square root of 67416072 is about 8210.7290784680. The cubic root of 67416072 is about 406.9938201727.

The spelling of 67416072 in words is "sixty-seven million, four hundred sixteen thousand, seventy-two".