7136400 has 120 divisors (see below), whose sum is σ = 24140320. Its totient is φ = 1797120.

The previous prime is 7136383. The next prime is 7136401. The reversal of 7136400 is 46317.

It is a tau number, because it is divible by the number of its divisors (120).

It is a zygodrome in base 5.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7136401) 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, 22644 + ... + 22956.

Almost surely, 2^7136400 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 7136400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12070160).

7136400 is an abundant number, since it is smaller than the sum of its proper divisors (17003920).

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

7136400 is a wasteful number, since it uses less digits than its factorization.

7136400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 353 (or 342 counting only the distinct ones).

The product of its (nonzero) digits is 504, while the sum is 21.

The square root of 7136400 is about 2671.4041251746. The cubic root of 7136400 is about 192.5276285750.

The spelling of 7136400 in words is "seven million, one hundred thirty-six thousand, four hundred".