62412672 has 192 divisors, whose sum is σ = 200931840. Its totient is φ = 17095680.

The previous prime is 62412671. The next prime is 62412677. The reversal of 62412672 is 27621426.

It is a tau number, because it is divible by the number of its divisors (192).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (62412671) 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, 583243 + ... + 583349.

It is an arithmetic number, because the mean of its divisors is an integer number (1046520).

Almost surely, 2^62412672 is an apocalyptic number.

62412672 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 62412672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100465920).

62412672 is an abundant number, since it is smaller than the sum of its proper divisors (138519168).

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

62412672 is a wasteful number, since it uses less digits than its factorization.

62412672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 169 (or 150 counting only the distinct ones).

The product of its digits is 8064, while the sum is 30.

The square root of 62412672 is about 7900.1691121140. The cubic root of 62412672 is about 396.6653440940.

The spelling of 62412672 in words is "sixty-two million, four hundred twelve thousand, six hundred seventy-two".