72843264 has 192 divisors, whose sum is σ = 238547400. Its totient is φ = 21233664.

The previous prime is 72843257. The next prime is 72843299. The reversal of 72843264 is 46234827.

72843264 = T₅₇ + T₅₈ + ... + T₇₅₈.

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-2 number, since 2×72843264² = 10612282220347392, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3833847 + ... + 3833865.

Almost surely, 2^72843264 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 72843264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119273700).

72843264 is an abundant number, since it is smaller than the sum of its proper divisors (165704136).

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

72843264 is a wasteful number, since it uses less digits than its factorization.

72843264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68 (or 37 counting only the distinct ones).

The product of its digits is 64512, while the sum is 36.

The square root of 72843264 is about 8534.8265360229. The cubic root of 72843264 is about 417.6345943948.

The spelling of 72843264 in words is "seventy-two million, eight hundred forty-three thousand, two hundred sixty-four".