153672 has 32 divisors (see below), whose sum is σ = 405600. Its totient is φ = 48384.

The previous prime is 153649. The next prime is 153689. The reversal of 153672 is 276351.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 288 + ... + 624.

It is an arithmetic number, because the mean of its divisors is an integer number (12675).

2¹⁵³⁶⁷² is an apocalyptic number.

153672 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 153672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (202800).

153672 is an abundant number, since it is smaller than the sum of its proper divisors (251928).

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

153672 is a wasteful number, since it uses less digits than its factorization.

It is an anagram of its base 9 representation: 153672 = (253716)₉.

153672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 365 (or 361 counting only the distinct ones).

The product of its digits is 1260, while the sum is 24.

The square root of 153672 is about 392.0102039488. The cubic root of 153672 is about 53.5630026113.

It can be divided in two parts, 1536 and 72, that multiplied together give a cube (110592 = 48³).

The spelling of 153672 in words is "one hundred fifty-three thousand, six hundred seventy-two".