153372672 has 144 divisors (see below), whose sum is σ = 454201020. Its totient is φ = 49840128.

The previous prime is 153372601. The next prime is 153372679. The reversal of 153372672 is 276273351.

It can be written as a sum of positive squares in 2 ways, for example, as 153363456 + 9216 = 12384^2 + 96^2 .

It is a tau number, because it is divible by the number of its divisors (144).

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 (153372679) 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, 976818 + ... + 976974.

Almost surely, 2^153372672 is an apocalyptic number.

153372672 is a gapful number since it is divisible by the number (12) 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 153372672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (227100510).

153372672 is an abundant number, since it is smaller than the sum of its proper divisors (300828348).

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

153372672 is a wasteful number, since it uses less digits than its factorization.

153372672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 238 (or 215 counting only the distinct ones).

The product of its digits is 52920, while the sum is 36.

The square root of 153372672 is about 12384.3720874334. The cubic root of 153372672 is about 535.2820267474.

The spelling of 153372672 in words is "one hundred fifty-three million, three hundred seventy-two thousand, six hundred seventy-two".