72517350 has 48 divisors (see below), whose sum is σ = 184041792. Its totient is φ = 18886560.

The previous prime is 72517337. The next prime is 72517351. The reversal of 72517350 is 5371527.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72517351) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 829 + ... + 12071.

It is an arithmetic number, because the mean of its divisors is an integer number (3834204).

Almost surely, 2^72517350 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 72517350, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92020896).

72517350 is an abundant number, since it is smaller than the sum of its proper divisors (111524442).

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

72517350 is a wasteful number, since it uses less digits than its factorization.

72517350 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11301 (or 11296 counting only the distinct ones).

The product of its (nonzero) digits is 7350, while the sum is 30.

The square root of 72517350 is about 8515.7119490974. The cubic root of 72517350 is about 417.0108054639.

Adding to 72517350 its reverse (5371527), we get a palindrome (77888877).

The spelling of 72517350 in words is "seventy-two million, five hundred seventeen thousand, three hundred fifty".