72414020 has 24 divisors (see below), whose sum is σ = 173793984. Its totient is φ = 24827616.

The previous prime is 72414019. The next prime is 72414031. The reversal of 72414020 is 2041427.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 72413983 and 72414001.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 258482 + ... + 258761.

It is an arithmetic number, because the mean of its divisors is an integer number (7241416).

Almost surely, 2^72414020 is an apocalyptic number.

72414020 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

72414020 is an abundant number, since it is smaller than the sum of its proper divisors (101379964).

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

72414020 is a wasteful number, since it uses less digits than its factorization.

72414020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 517259 (or 517257 counting only the distinct ones).

The product of its (nonzero) digits is 448, while the sum is 20.

The square root of 72414020 is about 8509.6427657100. The cubic root of 72414020 is about 416.8126450286.

Adding to 72414020 its reverse (2041427), we get a palindrome (74455447).

The spelling of 72414020 in words is "seventy-two million, four hundred fourteen thousand, twenty".