72207828 has 192 divisors, whose sum is σ = 246220800. Its totient is φ = 17729280.

The previous prime is 72207827. The next prime is 72207853. The reversal of 72207828 is 82870227.

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 = 72207792 and 72207801.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72207827) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 157776 + ... + 158232.

It is an arithmetic number, because the mean of its divisors is an integer number (1282400).

Almost surely, 2^72207828 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 72207828, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123110400).

72207828 is an abundant number, since it is smaller than the sum of its proper divisors (174012972).

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

72207828 is a wasteful number, since it uses less digits than its factorization.

72207828 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 507 (or 499 counting only the distinct ones).

The product of its (nonzero) digits is 25088, while the sum is 36.

The square root of 72207828 is about 8497.5189320177. The cubic root of 72207828 is about 416.4166575568.

The spelling of 72207828 in words is "seventy-two million, two hundred seven thousand, eight hundred twenty-eight".