64812072 has 64 divisors (see below), whose sum is σ = 180149760. Its totient is φ = 19296000.

The previous prime is 64812067. The next prime is 64812079. The reversal of 64812072 is 27021846.

It is not an unprimeable number, because it can be changed into a prime (64812079) 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, 6322 + ... + 13022.

It is an arithmetic number, because the mean of its divisors is an integer number (2814840).

Almost surely, 2^64812072 is an apocalyptic number.

64812072 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 64812072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90074880).

64812072 is an abundant number, since it is smaller than the sum of its proper divisors (115337688).

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

64812072 is a wasteful number, since it uses less digits than its factorization.

64812072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6754 (or 6750 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 30.

The square root of 64812072 is about 8050.5945122084. The cubic root of 64812072 is about 401.6847110764.

It can be divided in two parts, 648 and 12072, that added together give a triangular number (12720 = T₁₅₉).

The spelling of 64812072 in words is "sixty-four million, eight hundred twelve thousand, seventy-two".