72102420 has 96 divisors (see below), whose sum is σ = 241597440. Its totient is φ = 17746560.

The previous prime is 72102413. The next prime is 72102449. The reversal of 72102420 is 2420127.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 72102393 and 72102402.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1885 + ... + 12155.

It is an arithmetic number, because the mean of its divisors is an integer number (2516640).

Almost surely, 2^72102420 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 72102420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120798720).

72102420 is an abundant number, since it is smaller than the sum of its proper divisors (169495020).

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

72102420 is a wasteful number, since it uses less digits than its factorization.

72102420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10302 (or 10294 counting only the distinct ones).

The product of its (nonzero) digits is 224, while the sum is 18.

The square root of 72102420 is about 8491.3143858887. The cubic root of 72102420 is about 416.2139324321.

Adding to 72102420 its reverse (2420127), we get a palindrome (74522547).

The spelling of 72102420 in words is "seventy-two million, one hundred two thousand, four hundred twenty".