65772000 has 480 divisors, whose sum is σ = 285405120. Its totient is φ = 14515200.

The previous prime is 65771947. The next prime is 65772013. The reversal of 65772000 is 27756.

65772000 = 90³ + 91³ + ... + 134³.

65772000 is a `hidden beast` number, since 657 + 7 + 2 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 2267986 + ... + 2268014.

It is an arithmetic number, because the mean of its divisors is an integer number (594594).

Almost surely, 2^65772000 is an apocalyptic number.

65772000 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 65772000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142702560).

65772000 is an abundant number, since it is smaller than the sum of its proper divisors (219633120).

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

65772000 is a wasteful number, since it uses less digits than its factorization.

65772000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73 (or 46 counting only the distinct ones).

The product of its (nonzero) digits is 2940, while the sum is 27.

The square root of 65772000 is about 8109.9938347695. The cubic root of 65772000 is about 403.6581102567.

Adding to 65772000 its reverse (27756), we get a palindrome (65799756).

The spelling of 65772000 in words is "sixty-five million, seven hundred seventy-two thousand".