72625350 has 144 divisors (see below), whose sum is σ = 215517456. Its totient is φ = 16128000.

The previous prime is 72625337. The next prime is 72625351. The reversal of 72625350 is 5352627.

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

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72625351) 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 71 ways as a sum of consecutive naturals, for example, 301230 + ... + 301470.

It is an arithmetic number, because the mean of its divisors is an integer number (1496649).

Almost surely, 2^72625350 is an apocalyptic number.

72625350 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 72625350, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107758728).

72625350 is an abundant number, since it is smaller than the sum of its proper divisors (142892106).

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

72625350 is a wasteful number, since it uses less digits than its factorization.

72625350 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 311 (or 299 counting only the distinct ones).

The product of its (nonzero) digits is 12600, while the sum is 30.

The square root of 72625350 is about 8522.0508095176. The cubic root of 72625350 is about 417.2177206713.

Adding to 72625350 its reverse (5352627), we get a palindrome (77977977).

It can be divided in two parts, 726 and 25350, that multiplied together give a square (18404100 = 4290²).

The spelling of 72625350 in words is "seventy-two million, six hundred twenty-five thousand, three hundred fifty".