7201152 has 192 divisors, whose sum is σ = 25459200. Its totient is φ = 1907712.

The previous prime is 7201147. The next prime is 7201153. The reversal of 7201152 is 2511027.

7201152 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (192).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7201153) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 153193 + ... + 153239.

It is an arithmetic number, because the mean of its divisors is an integer number (132600).

Almost surely, 2^7201152 is an apocalyptic number.

7201152 is a gapful number since it is divisible by the number (72) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7201152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12729600).

7201152 is an abundant number, since it is smaller than the sum of its proper divisors (18258048).

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

7201152 is a wasteful number, since it uses less digits than its factorization.

7201152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 93 (or 78 counting only the distinct ones).

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

The square root of 7201152 is about 2683.4962269398. The cubic root of 7201152 is about 193.1081749254.

Adding to 7201152 its reverse (2511027), we get a palindrome (9712179).

The spelling of 7201152 in words is "seven million, two hundred one thousand, one hundred fifty-two".