65029072 has 40 divisors (see below), whose sum is σ = 133126400. Its totient is φ = 30723840.

The previous prime is 65029067. The next prime is 65029079. The reversal of 65029072 is 27092056.

It is a Harshad number since it is a multiple of its sum of digits (31).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (65029079) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 19804 + ... + 22852.

It is an arithmetic number, because the mean of its divisors is an integer number (3328160).

Almost surely, 2^65029072 is an apocalyptic number.

65029072 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 65029072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66563200).

65029072 is an abundant number, since it is smaller than the sum of its proper divisors (68097328).

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

65029072 is a wasteful number, since it uses less digits than its factorization.

65029072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3131 (or 3125 counting only the distinct ones).

The product of its (nonzero) digits is 7560, while the sum is 31.

The square root of 65029072 is about 8064.0605156459. The cubic root of 65029072 is about 402.1325107905.

The spelling of 65029072 in words is "sixty-five million, twenty-nine thousand, seventy-two".