7136920 has 64 divisors (see below), whose sum is σ = 18662400. Its totient is φ = 2405760.

The previous prime is 7136917. The next prime is 7136971. The reversal of 7136920 is 296317.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 19701 + ... + 20059.

It is an arithmetic number, because the mean of its divisors is an integer number (291600).

Almost surely, 2^7136920 is an apocalyptic number.

7136920 is a gapful number since it is divisible by the number (70) 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 7136920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9331200).

7136920 is an abundant number, since it is smaller than the sum of its proper divisors (11525480).

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

7136920 is a wasteful number, since it uses less digits than its factorization.

7136920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 448 (or 444 counting only the distinct ones).

The product of its (nonzero) digits is 2268, while the sum is 28.

The square root of 7136920 is about 2671.5014504956. The cubic root of 7136920 is about 192.5323046926.

The spelling of 7136920 in words is "seven million, one hundred thirty-six thousand, nine hundred twenty".