72154400 has 144 divisors (see below), whose sum is σ = 191237760. Its totient is φ = 26496000.

The previous prime is 72154393. The next prime is 72154421. The reversal of 72154400 is 445127.

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, 714350 + ... + 714450.

It is an arithmetic number, because the mean of its divisors is an integer number (1328040).

Almost surely, 2^72154400 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 72154400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95618880).

72154400 is an abundant number, since it is smaller than the sum of its proper divisors (119083360).

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

72154400 is a wasteful number, since it uses less digits than its factorization.

72154400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 187 (or 174 counting only the distinct ones).

The product of its (nonzero) digits is 1120, while the sum is 23.

The square root of 72154400 is about 8494.3746091163. The cubic root of 72154400 is about 416.3139272418.

Adding to 72154400 its reverse (445127), we get a palindrome (72599527).

The spelling of 72154400 in words is "seventy-two million, one hundred fifty-four thousand, four hundred".