153967872 has 72 divisors (see below), whose sum is σ = 411612544. Its totient is φ = 51093504.

The previous prime is 153967871. The next prime is 153967889. The reversal of 153967872 is 278769351.

It is a super-2 number, since 2×153967872² = 47412211216416768, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (153967871) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 332313 + ... + 332775.

Almost surely, 2^153967872 is an apocalyptic number.

153967872 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 153967872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (205806272).

153967872 is an abundant number, since it is smaller than the sum of its proper divisors (257644672).

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

153967872 is an equidigital number, since it uses as much as digits as its factorization.

153967872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 915 (or 901 counting only the distinct ones).

The product of its digits is 635040, while the sum is 48.

The square root of 153967872 is about 12408.3791044600. The cubic root of 153967872 is about 535.9735637069.

The spelling of 153967872 in words is "one hundred fifty-three million, nine hundred sixty-seven thousand, eight hundred seventy-two".