62672016 has 80 divisors (see below), whose sum is σ = 182756160. Its totient is φ = 18332160.

The previous prime is 62672011. The next prime is 62672039. The reversal of 62672016 is 61027626.

It is not an unprimeable number, because it can be changed into a prime (62672011) 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, 13266 + ... + 17358.

It is an arithmetic number, because the mean of its divisors is an integer number (2284452).

Almost surely, 2^62672016 is an apocalyptic number.

62672016 is a gapful number since it is divisible by the number (66) 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 62672016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91378080).

62672016 is an abundant number, since it is smaller than the sum of its proper divisors (120084144).

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

62672016 is a wasteful number, since it uses less digits than its factorization.

62672016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4144 (or 4138 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 30.

The square root of 62672016 is about 7916.5659221660. The cubic root of 62672016 is about 397.2140073292.

The spelling of 62672016 in words is "sixty-two million, six hundred seventy-two thousand, sixteen".