72417820 has 24 divisors (see below), whose sum is σ = 153052704. Its totient is φ = 28781376.

The previous prime is 72417809. The next prime is 72417833. The reversal of 72417820 is 2871427.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8392 + ... + 14671.

It is an arithmetic number, because the mean of its divisors is an integer number (6377196).

Almost surely, 2^72417820 is an apocalyptic number.

It is an amenable number.

72417820 is an abundant number, since it is smaller than the sum of its proper divisors (80634884).

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

72417820 is a wasteful number, since it uses less digits than its factorization.

72417820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23229 (or 23227 counting only the distinct ones).

The product of its (nonzero) digits is 6272, while the sum is 31.

The square root of 72417820 is about 8509.8660388986. The cubic root of 72417820 is about 416.8199357914.

It can be divided in two parts, 72417 and 820, that added together give a palindrome (73237).

The spelling of 72417820 in words is "seventy-two million, four hundred seventeen thousand, eight hundred twenty".