153972 has 72 divisors (see below), whose sum is σ = 489216. Its totient is φ = 39744.

The previous prime is 153953. The next prime is 153991. The reversal of 153972 is 279351.

153972 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (153953) and next prime (153991).

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a nialpdrome in base 13.

It is a congruent number.

It is an unprimeable number.

153972 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3253 + ... + 3299.

2¹⁵³⁹⁷² is an apocalyptic number.

153972 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 153972, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (244608).

153972 is an abundant number, since it is smaller than the sum of its proper divisors (335244).

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

153972 is a wasteful number, since it uses less digits than its factorization.

153972 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77 (or 72 counting only the distinct ones).

The product of its digits is 1890, while the sum is 27.

The square root of 153972 is about 392.3926604818. The cubic root of 153972 is about 53.5978353622.

The spelling of 153972 in words is "one hundred fifty-three thousand, nine hundred seventy-two".