72818028 has 60 divisors (see below), whose sum is σ = 191184840. Its totient is φ = 24167808.

The previous prime is 72818017. The next prime is 72818029. The reversal of 72818028 is 82081827.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 72817983 and 72818001.

It is not an unprimeable number, because it can be changed into a prime (72818029) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 122500 + ... + 123092.

It is an arithmetic number, because the mean of its divisors is an integer number (3186414).

Almost surely, 2^72818028 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 72818028, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95592420).

72818028 is an abundant number, since it is smaller than the sum of its proper divisors (118366812).

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

72818028 is a wasteful number, since it uses less digits than its factorization.

72818028 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 988 (or 977 counting only the distinct ones).

The product of its (nonzero) digits is 14336, while the sum is 36.

The square root of 72818028 is about 8533.3479947791. The cubic root of 72818028 is about 417.5863600380.

The spelling of 72818028 in words is "seventy-two million, eight hundred eighteen thousand, twenty-eight".