72038505 has 64 divisors (see below), whose sum is σ = 145410048. Its totient is φ = 29583360.

The previous prime is 72038497. The next prime is 72038531. The reversal of 72038505 is 50583027.

It is a happy number.

It is not a de Polignac number, because 72038505 - 2³ = 72038497 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 111714 + ... + 112356.

It is an arithmetic number, because the mean of its divisors is an integer number (2272032).

Almost surely, 2^72038505 is an apocalyptic number.

It is an amenable number.

72038505 is an abundant number, since it is smaller than the sum of its proper divisors (73371543).

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

72038505 is a wasteful number, since it uses less digits than its factorization.

72038505 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 766.

The product of its (nonzero) digits is 8400, while the sum is 30.

The square root of 72038505 is about 8487.5499998527. The cubic root of 72038505 is about 416.0909121604.

The spelling of 72038505 in words is "seventy-two million, thirty-eight thousand, five hundred five".