72416050 has 48 divisors (see below), whose sum is σ = 155382912. Its totient is φ = 24595200.

The previous prime is 72416041. The next prime is 72416051. The reversal of 72416050 is 5061427.

It is a super-4 number, since 4×72416050⁴ (a number of 33 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (72416051) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 38635 + ... + 40465.

It is an arithmetic number, because the mean of its divisors is an integer number (3237144).

Almost surely, 2^72416050 is an apocalyptic number.

72416050 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

72416050 is an abundant number, since it is smaller than the sum of its proper divisors (82966862).

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

72416050 is a wasteful number, since it uses less digits than its factorization.

72416050 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1963 (or 1958 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 25.

The square root of 72416050 is about 8509.7620413264. The cubic root of 72416050 is about 416.8165398626.

Adding to 72416050 its reverse (5061427), we get a palindrome (77477477).

The spelling of 72416050 in words is "seventy-two million, four hundred sixteen thousand, fifty".