9513972 has 72 divisors (see below), whose sum is σ = 26830440. Its totient is φ = 2822400.

The previous prime is 9513967. The next prime is 9513979. The reversal of 9513972 is 2793159.

9513972 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 1527696 + 7986276 = 1236^2 + 2826^2 .

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 (9513979) 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, 13222 + ... + 13922.

It is an arithmetic number, because the mean of its divisors is an integer number (372645).

Almost surely, 2^9513972 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 9513972, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13415220).

9513972 is an abundant number, since it is smaller than the sum of its proper divisors (17316468).

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

9513972 is a wasteful number, since it uses less digits than its factorization.

9513972 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 753 (or 748 counting only the distinct ones).

The product of its digits is 17010, while the sum is 36.

The square root of 9513972 is about 3084.4727264153. The cubic root of 9513972 is about 211.8949580489.

The spelling of 9513972 in words is "nine million, five hundred thirteen thousand, nine hundred seventy-two".