7465920 has 224 divisors, whose sum is σ = 29846016. Its totient is φ = 1536000.

The previous prime is 7465891. The next prime is 7465937. The reversal of 7465920 is 295647.

It is a tau number, because it is divible by the number of its divisors (224).

It is a super-2 number, since 2×7465920² = 111479922892800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 73870 + ... + 73970.

Almost surely, 2^7465920 is an apocalyptic number.

7465920 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 7465920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14923008).

7465920 is an abundant number, since it is smaller than the sum of its proper divisors (22380096).

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

7465920 is a wasteful number, since it uses less digits than its factorization.

7465920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 139 (or 129 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 33.

The square root of 7465920 is about 2732.3835748299. The cubic root of 7465920 is about 195.4464458679.

It can be divided in two parts, 7465 and 920, that added together give a triangular number (8385 = T₁₂₉).

The spelling of 7465920 in words is "seven million, four hundred sixty-five thousand, nine hundred twenty".