72415253 has 8 divisors (see below), whose sum is σ = 75142872. Its totient is φ = 69728256.

The previous prime is 72415249. The next prime is 72415261. The reversal of 72415253 is 35251427.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 29669809 + 42745444 = 5447^2 + 6538^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 72415253 - 2² = 72415249 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72415153) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6500 + ... + 13677.

It is an arithmetic number, because the mean of its divisors is an integer number (9392859).

Almost surely, 2^72415253 is an apocalyptic number.

It is an amenable number.

72415253 is a deficient number, since it is larger than the sum of its proper divisors (2727619).

72415253 is a wasteful number, since it uses less digits than its factorization.

72415253 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20311.

The product of its digits is 8400, while the sum is 29.

The square root of 72415253 is about 8509.7152126261. The cubic root of 72415253 is about 416.8150107172.

The spelling of 72415253 in words is "seventy-two million, four hundred fifteen thousand, two hundred fifty-three".