72936720 has 80 divisors (see below), whose sum is σ = 251233920. Its totient is φ = 19449216.

The previous prime is 72936713. The next prime is 72936727. The reversal of 72936720 is 2763927.

It is an interprime number because it is at equal distance from previous prime (72936713) and next prime (72936727).

It is a tau number, because it is divible by the number of its divisors (80).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is not an unprimeable number, because it can be changed into a prime (72936727) 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 15 ways as a sum of consecutive naturals, for example, 14724 + ... + 19043.

It is an arithmetic number, because the mean of its divisors is an integer number (3140424).

Almost surely, 2^72936720 is an apocalyptic number.

It is an amenable number.

72936720 is an abundant number, since it is smaller than the sum of its proper divisors (178297200).

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

72936720 is a wasteful number, since it uses less digits than its factorization.

72936720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33789 (or 33777 counting only the distinct ones).

The product of its (nonzero) digits is 31752, while the sum is 36.

The square root of 72936720 is about 8540.2997605471. The cubic root of 72936720 is about 417.8131228165.

The spelling of 72936720 in words is "seventy-two million, nine hundred thirty-six thousand, seven hundred twenty".