72210628 has 24 divisors (see below), whose sum is σ = 152917632. Its totient is φ = 29126784.

The previous prime is 72210623. The next prime is 72210637. The reversal of 72210628 is 82601227.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 72210596 and 72210605.

It is not an unprimeable number, because it can be changed into a prime (72210623) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 75376 + ... + 76327.

It is an arithmetic number, because the mean of its divisors is an integer number (6371568).

Almost surely, 2^72210628 is an apocalyptic number.

It is an amenable number.

72210628 is an abundant number, since it is smaller than the sum of its proper divisors (80707004).

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

72210628 is a wasteful number, since it uses less digits than its factorization.

72210628 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 151731 (or 151729 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 28.

The square root of 72210628 is about 8497.6836843931. The cubic root of 72210628 is about 416.4220399445.

The spelling of 72210628 in words is "seventy-two million, two hundred ten thousand, six hundred twenty-eight".