72846720 has 96 divisors (see below), whose sum is σ = 251568720. Its totient is φ = 19424256.

The previous prime is 72846707. The next prime is 72846733. The reversal of 72846720 is 2764827.

It is an interprime number because it is at equal distance from previous prime (72846707) and next prime (72846733).

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

It is a super-2 number, since 2×72846720² = 10613289229516800, 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 (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 564 + ... + 12083.

Almost surely, 2^72846720 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 72846720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125784360).

72846720 is an abundant number, since it is smaller than the sum of its proper divisors (178722000).

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

72846720 is a wasteful number, since it uses less digits than its factorization.

72846720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12672 (or 12657 counting only the distinct ones).

The product of its (nonzero) digits is 37632, while the sum is 36.

The square root of 72846720 is about 8535.0289981933. The cubic root of 72846720 is about 417.6411990885.

The spelling of 72846720 in words is "seventy-two million, eight hundred forty-six thousand, seven hundred twenty".