72869664 has 96 divisors (see below), whose sum is σ = 223171200. Its totient is φ = 20810496.

The previous prime is 72869611. The next prime is 72869683. The reversal of 72869664 is 46696827.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 31822 + ... + 34034.

It is an arithmetic number, because the mean of its divisors is an integer number (2324700).

Almost surely, 2^72869664 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 72869664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111585600).

72869664 is an abundant number, since it is smaller than the sum of its proper divisors (150301536).

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

72869664 is a wasteful number, since it uses less digits than its factorization.

72869664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2247 (or 2225 counting only the distinct ones).

The product of its digits is 870912, while the sum is 48.

The square root of 72869664 is about 8536.3730002853. The cubic root of 72869664 is about 417.6850416199.

The spelling of 72869664 in words is "seventy-two million, eight hundred sixty-nine thousand, six hundred sixty-four".