72506753 has 8 divisors (see below), whose sum is σ = 80100480. Its totient is φ = 65080080.

The previous prime is 72506743. The next prime is 72506761. The reversal of 72506753 is 35760527.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 72506753 - 2¹² = 72502657 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (72506723) 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 7 ways as a sum of consecutive naturals, for example, 40850 + ... + 42587.

It is an arithmetic number, because the mean of its divisors is an integer number (10012560).

Almost surely, 2^72506753 is an apocalyptic number.

It is an amenable number.

72506753 is a deficient number, since it is larger than the sum of its proper divisors (7593727).

72506753 is a wasteful number, since it uses less digits than its factorization.

72506753 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83527.

The product of its (nonzero) digits is 44100, while the sum is 35.

The square root of 72506753 is about 8515.0897235437. The cubic root of 72506753 is about 416.9904918021.

The spelling of 72506753 in words is "seventy-two million, five hundred six thousand, seven hundred fifty-three".