72215400 has 96 divisors (see below), whose sum is σ = 233645760. Its totient is φ = 18416640.

The previous prime is 72215369. The next prime is 72215431. The reversal of 72215400 is 451227.

It is an interprime number because it is at equal distance from previous prime (72215369) and next prime (72215431).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11184 + ... + 16416.

It is an arithmetic number, because the mean of its divisors is an integer number (2433810).

Almost surely, 2^72215400 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 72215400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116822880).

72215400 is an abundant number, since it is smaller than the sum of its proper divisors (161430360).

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

72215400 is a wasteful number, since it uses less digits than its factorization.

72215400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5275 (or 5266 counting only the distinct ones).

The product of its (nonzero) digits is 560, while the sum is 21.

The square root of 72215400 is about 8497.9644621521. The cubic root of 72215400 is about 416.4312127503.

Adding to 72215400 its reverse (451227), we get a palindrome (72666627).

It can be divided in two parts, 7221 and 5400, that added together give a palindrome (12621).

The spelling of 72215400 in words is "seventy-two million, two hundred fifteen thousand, four hundred".