72417294 has 64 divisors (see below), whose sum is σ = 169344000. Its totient is φ = 22895136.

The previous prime is 72417287. The next prime is 72417329. The reversal of 72417294 is 49271427.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 247012 + ... + 247304.

It is an arithmetic number, because the mean of its divisors is an integer number (2646000).

Almost surely, 2^72417294 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 72417294, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84672000).

72417294 is an abundant number, since it is smaller than the sum of its proper divisors (96926706).

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

72417294 is a wasteful number, since it uses less digits than its factorization.

72417294 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 526 (or 520 counting only the distinct ones).

The product of its digits is 28224, while the sum is 36.

The square root of 72417294 is about 8509.8351335381. The cubic root of 72417294 is about 416.8189266116.

It can be divided in two parts, 7241 and 7294, that added together give a triangular number (14535 = T₁₇₀).

The spelling of 72417294 in words is "seventy-two million, four hundred seventeen thousand, two hundred ninety-four".