7521948 has 72 divisors (see below), whose sum is σ = 22888320. Its totient is φ = 2034720.

The previous prime is 7521937. The next prime is 7521949. The reversal of 7521948 is 8491257.

7521948 is digitally balanced in base 4 and base 5, because in such bases it contains all the possibile digits an equal number of times.

7521948 is an esthetic number in base 8, because in such base its adjacent digits differ by 1.

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

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7521949) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4003 + ... + 5573.

Almost surely, 2^7521948 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 7521948, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11444160).

7521948 is an abundant number, since it is smaller than the sum of its proper divisors (15366372).

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

7521948 is a wasteful number, since it uses less digits than its factorization.

7521948 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1607 (or 1602 counting only the distinct ones).

The product of its digits is 20160, while the sum is 36.

The square root of 7521948 is about 2742.6169984159. The cubic root of 7521948 is about 195.9341372484.

The spelling of 7521948 in words is "seven million, five hundred twenty-one thousand, nine hundred forty-eight".