72415201 has 4 divisors (see below), whose sum is σ = 75563712. Its totient is φ = 69266692.

The previous prime is 72415181. The next prime is 72415207. The reversal of 72415201 is 10251427.

It is a happy number.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4.

It is a cyclic number.

It is not a de Polignac number, because 72415201 - 2¹³ = 72407009 is a prime.

It is a super-2 number, since 2×72415201² = 10487922671740802, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (72415207) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1574221 + ... + 1574266.

It is an arithmetic number, because the mean of its divisors is an integer number (18890928).

Almost surely, 2^72415201 is an apocalyptic number.

It is an amenable number.

72415201 is a deficient number, since it is larger than the sum of its proper divisors (3148511).

72415201 is a wasteful number, since it uses less digits than its factorization.

72415201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3148510.

The product of its (nonzero) digits is 560, while the sum is 22.

The square root of 72415201 is about 8509.7121572942. The cubic root of 72415201 is about 416.8149109482.

Adding to 72415201 its reverse (10251427), we get a palindrome (82666628).

The spelling of 72415201 in words is "seventy-two million, four hundred fifteen thousand, two hundred one".