7261952 has 36 divisors (see below), whose sum is σ = 15268680. Its totient is φ = 3437568.

The previous prime is 7261949. The next prime is 7261963. The reversal of 7261952 is 2591627.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 4118 + ... + 5610.

It is an arithmetic number, because the mean of its divisors is an integer number (424130).

Almost surely, 2^7261952 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 7261952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7634340).

7261952 is an abundant number, since it is smaller than the sum of its proper divisors (8006728).

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

7261952 is a wasteful number, since it uses less digits than its factorization.

7261952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1528 (or 1514 counting only the distinct ones).

The product of its digits is 7560, while the sum is 32.

The square root of 7261952 is about 2694.8009202908. The cubic root of 7261952 is about 193.6501293132.

It can be divided in two parts, 72 and 61952, that multiplied together give a square (4460544 = 2112²).

The spelling of 7261952 in words is "seven million, two hundred sixty-one thousand, nine hundred fifty-two".