152472768 has 112 divisors (see below), whose sum is σ = 472464384. Its totient is φ = 42485760.

The previous prime is 152472763. The next prime is 152472769. The reversal of 152472768 is 867274251.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (152472763) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 53721 + ... + 56487.

It is an arithmetic number, because the mean of its divisors is an integer number (4218432).

Almost surely, 2^152472768 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 152472768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (236232192).

152472768 is an abundant number, since it is smaller than the sum of its proper divisors (319991616).

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

152472768 is a wasteful number, since it uses less digits than its factorization.

152472768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2830 (or 2820 counting only the distinct ones).

The product of its digits is 188160, while the sum is 42.

The square root of 152472768 is about 12347.9863945503. The cubic root of 152472768 is about 534.2330618681.

The spelling of 152472768 in words is "one hundred fifty-two million, four hundred seventy-two thousand, seven hundred sixty-eight".