72013405 has 8 divisors (see below), whose sum is σ = 87600312. Its totient is φ = 56821248.

The previous prime is 72013399. The next prime is 72013427. The reversal of 72013405 is 50431027.

It can be written as a sum of positive squares in 4 ways, for example, as 289444 + 71723961 = 538^2 + 8469^2 .

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 72013405 - 2³ = 72013397 is a prime.

It is a Duffinian number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 98284 + ... + 99013.

It is an arithmetic number, because the mean of its divisors is an integer number (10950039).

Almost surely, 2^72013405 is an apocalyptic number.

It is an amenable number.

72013405 is a deficient number, since it is larger than the sum of its proper divisors (15586907).

72013405 is a wasteful number, since it uses less digits than its factorization.

72013405 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 197375.

The product of its (nonzero) digits is 840, while the sum is 22.

The square root of 72013405 is about 8486.0712346763. The cubic root of 72013405 is about 416.0425810857.

The spelling of 72013405 in words is "seventy-two million, thirteen thousand, four hundred five".