72151200 has 216 divisors, whose sum is σ = 277857216. Its totient is φ = 17472000.

The previous prime is 72151169. The next prime is 72151201. The reversal of 72151200 is 215127.

72151200 = 35³ + 36³ + ... + 130³.

It is a super-2 number, since 2×72151200² = 10411591322880000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (72151201) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 78745 + ... + 79655.

It is an arithmetic number, because the mean of its divisors is an integer number (1286376).

Almost surely, 2^72151200 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 72151200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138928608).

72151200 is an abundant number, since it is smaller than the sum of its proper divisors (205706016).

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

72151200 is a wasteful number, since it uses less digits than its factorization.

72151200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 948 (or 932 counting only the distinct ones).

The product of its (nonzero) digits is 140, while the sum is 18.

The square root of 72151200 is about 8494.1862470751. The cubic root of 72151200 is about 416.3077727349.

Adding to 72151200 its reverse (215127), we get a palindrome (72366327).

The spelling of 72151200 in words is "seventy-two million, one hundred fifty-one thousand, two hundred".