7461720 has 240 divisors, whose sum is σ = 29795040. Its totient is φ = 1669248.

The previous prime is 7461697. The next prime is 7461757. The reversal of 7461720 is 271647.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 158737 + ... + 158783.

It is an arithmetic number, because the mean of its divisors is an integer number (124146).

Almost surely, 2^7461720 is an apocalyptic number.

7461720 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 7461720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14897520).

7461720 is an abundant number, since it is smaller than the sum of its proper divisors (22333320).

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

7461720 is a wasteful number, since it uses less digits than its factorization.

7461720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84 (or 64 counting only the distinct ones).

The product of its (nonzero) digits is 2352, while the sum is 27.

The square root of 7461720 is about 2731.6149069735. The cubic root of 7461720 is about 195.4097891196.

The spelling of 7461720 in words is "seven million, four hundred sixty-one thousand, seven hundred twenty".