72610020 has 240 divisors, whose sum is σ = 274834560. Its totient is φ = 15676416.

The previous prime is 72610019. The next prime is 72610037. The reversal of 72610020 is 2001627.

It is a happy number.

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 = 72609975 and 72610002.

It is a congruent number.

It is an unprimeable number.

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 79 ways as a sum of consecutive naturals, for example, 215292 + ... + 215628.

It is an arithmetic number, because the mean of its divisors is an integer number (1145144).

Almost surely, 2^72610020 is an apocalyptic number.

72610020 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 72610020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137417280).

72610020 is an abundant number, since it is smaller than the sum of its proper divisors (202224540).

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

72610020 is a wasteful number, since it uses less digits than its factorization.

72610020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 384 (or 373 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 18.

The square root of 72610020 is about 8521.1513306595. The cubic root of 72610020 is about 417.1883627049.

Adding to 72610020 its reverse (2001627), we get a palindrome (74611647).

The spelling of 72610020 in words is "seventy-two million, six hundred ten thousand, twenty".