72870336 has 336 divisors, whose sum is σ = 273881088. Its totient is φ = 17971200.

The previous prime is 72870331. The next prime is 72870341. The reversal of 72870336 is 63307827.

It is an interprime number because it is at equal distance from previous prime (72870331) and next prime (72870341).

It is a tau number, because it is divible by the number of its divisors (336).

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

It is a self number, because there is not a number n which added to its sum of digits gives 72870336.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72870331) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 1374886 + ... + 1374938.

Almost surely, 2^72870336 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 72870336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136940544).

72870336 is an abundant number, since it is smaller than the sum of its proper divisors (201010752).

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

72870336 is a wasteful number, since it uses less digits than its factorization.

72870336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 120 (or 107 counting only the distinct ones).

The product of its (nonzero) digits is 42336, while the sum is 36.

The square root of 72870336 is about 8536.4123611738. The cubic root of 72870336 is about 417.6863255720.

The spelling of 72870336 in words is "seventy-two million, eight hundred seventy thousand, three hundred thirty-six".