72005507 has 4 divisors (see below), whose sum is σ = 82292016. Its totient is φ = 61719000.

The previous prime is 72005501. The next prime is 72005537. The reversal of 72005507 is 70550027.

It is a semiprime because it is the product of two primes, and also an emirpimes, since its reverse is a distinct semiprime: 70550027 = 761 ⋅92707.

It is not a de Polignac number, because 72005507 - 2⁴ = 72005491 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (72005501) 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 3 ways as a sum of consecutive naturals, for example, 5143244 + ... + 5143257.

It is an arithmetic number, because the mean of its divisors is an integer number (20573004).

Almost surely, 2^72005507 is an apocalyptic number.

72005507 is a deficient number, since it is larger than the sum of its proper divisors (10286509).

72005507 is a wasteful number, since it uses less digits than its factorization.

72005507 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10286508.

The product of its (nonzero) digits is 2450, while the sum is 26.

The square root of 72005507 is about 8485.6058711208. The cubic root of 72005507 is about 416.0273708415.

The spelling of 72005507 in words is "seventy-two million, five thousand, five hundred seven".