7346952 has 48 divisors (see below), whose sum is σ = 20208240. Its totient is φ = 2410848.

The previous prime is 7346951. The next prime is 7346953. The reversal of 7346952 is 2596437.

It is an interprime number because it is at equal distance from previous prime (7346951) and next prime (7346953).

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (7346951) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4063 + ... + 5585.

It is an arithmetic number, because the mean of its divisors is an integer number (421005).

Almost surely, 2^7346952 is an apocalyptic number.

7346952 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 7346952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10104120).

7346952 is an abundant number, since it is smaller than the sum of its proper divisors (12861288).

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

7346952 is a wasteful number, since it uses less digits than its factorization.

7346952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1602 (or 1595 counting only the distinct ones).

The product of its digits is 45360, while the sum is 36.

The square root of 7346952 is about 2710.5261481860. The cubic root of 7346952 is about 194.4027485259.

The spelling of 7346952 in words is "seven million, three hundred forty-six thousand, nine hundred fifty-two".