72017505 has 120 divisors (see below), whose sum is σ = 158906880. Its totient is φ = 31026240.

The previous prime is 72017459. The next prime is 72017521. The reversal of 72017505 is 50571027.

It is not a de Polignac number, because 72017505 - 2⁶ = 72017441 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 376960 + ... + 377150.

It is an arithmetic number, because the mean of its divisors is an integer number (1324224).

Almost surely, 2^72017505 is an apocalyptic number.

It is an amenable number.

72017505 is an abundant number, since it is smaller than the sum of its proper divisors (86889375).

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

72017505 is a wasteful number, since it uses less digits than its factorization.

72017505 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 241 (or 225 counting only the distinct ones).

The product of its (nonzero) digits is 2450, while the sum is 27.

The square root of 72017505 is about 8486.3128035679. The cubic root of 72017505 is about 416.0504765704.

It can be divided in two parts, 7201 and 7505, that added together give a triangular number (14706 = T₁₇₁).

The spelling of 72017505 in words is "seventy-two million, seventeen thousand, five hundred five".