72314550 has 144 divisors (see below), whose sum is σ = 242341632. Its totient is φ = 15019200.

The previous prime is 72314533. The next prime is 72314569. The reversal of 72314550 is 5541327.

It is a happy number.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 33607 + ... + 35693.

It is an arithmetic number, because the mean of its divisors is an integer number (1682928).

Almost surely, 2^72314550 is an apocalyptic number.

72314550 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 72314550, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121170816).

72314550 is an abundant number, since it is smaller than the sum of its proper divisors (170027082).

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

72314550 is a wasteful number, since it uses less digits than its factorization.

72314550 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2123 (or 2115 counting only the distinct ones).

The product of its (nonzero) digits is 4200, while the sum is 27.

The square root of 72314550 is about 8503.7962111048. The cubic root of 72314550 is about 416.6217089271.

Adding to 72314550 its reverse (5541327), we get a palindrome (77855877).

It can be divided in two parts, 7231 and 4550, that added together give a triangular number (11781 = T₁₅₃).

The spelling of 72314550 in words is "seventy-two million, three hundred fourteen thousand, five hundred fifty".