78003072 has 192 divisors, whose sum is σ = 272095200. Its totient is φ = 20938752.

The previous prime is 78003059. The next prime is 78003077. The reversal of 78003072 is 27030087.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (78003077) 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 23 ways as a sum of consecutive naturals, for example, 136804 + ... + 137372.

Almost surely, 2^78003072 is an apocalyptic number.

78003072 is a gapful number since it is divisible by the number (72) 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 78003072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136047600).

78003072 is an abundant number, since it is smaller than the sum of its proper divisors (194092128).

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

78003072 is a wasteful number, since it uses less digits than its factorization.

78003072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 613 (or 598 counting only the distinct ones).

The product of its (nonzero) digits is 2352, while the sum is 27.

The square root of 78003072 is about 8831.9347823679. The cubic root of 78003072 is about 427.2714773301.

The spelling of 78003072 in words is "seventy-eight million, three thousand, seventy-two".