64727520 has 384 divisors, whose sum is σ = 256048128. Its totient is φ = 13516800.

The previous prime is 64727519. The next prime is 64727521. The reversal of 64727520 is 2572746.

It is an interprime number because it is at equal distance from previous prime (64727519) and next prime (64727521).

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (64727521) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1578700 + ... + 1578740.

It is an arithmetic number, because the mean of its divisors is an integer number (666792).

Almost surely, 2^64727520 is an apocalyptic number.

64727520 is a gapful number since it is divisible by the number (60) 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 64727520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128024064).

64727520 is an abundant number, since it is smaller than the sum of its proper divisors (191320608).

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

64727520 is a wasteful number, since it uses less digits than its factorization.

64727520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106 (or 98 counting only the distinct ones).

The product of its (nonzero) digits is 23520, while the sum is 33.

The square root of 64727520 is about 8045.3415092213. The cubic root of 64727520 is about 401.5099595498.

The spelling of 64727520 in words is "sixty-four million, seven hundred twenty-seven thousand, five hundred twenty".