152972000 has 96 divisors (see below), whose sum is σ = 379753920. Its totient is φ = 60556800.

The previous prime is 152971991. The next prime is 152972009. The reversal of 152972000 is 279251.

It is an interprime number because it is at equal distance from previous prime (152971991) and next prime (152972009).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (152972009) 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, 667886 + ... + 668114.

It is an arithmetic number, because the mean of its divisors is an integer number (3955770).

Almost surely, 2^152972000 is an apocalyptic number.

152972000 is a gapful number since it is divisible by the number (10) 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 152972000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (189876960).

152972000 is an abundant number, since it is smaller than the sum of its proper divisors (226781920).

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

152972000 is a wasteful number, since it uses less digits than its factorization.

152972000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 421 (or 403 counting only the distinct ones).

The product of its (nonzero) digits is 1260, while the sum is 26.

The square root of 152972000 is about 12368.1849921482. The cubic root of 152972000 is about 534.8154952326.

The spelling of 152972000 in words is "one hundred fifty-two million, nine hundred seventy-two thousand".