153007072 has 96 divisors (see below), whose sum is σ = 338494464. Its totient is φ = 67737600.

The previous prime is 153007069. The next prime is 153007091. The reversal of 153007072 is 270700351.

153007072 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×153007072² = 46822328164026368, which contains 22 as substring.

It is a hoax number, since the sum of its digits (25) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 725047 + ... + 725257.

It is an arithmetic number, because the mean of its divisors is an integer number (3525984).

Almost surely, 2^153007072 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 153007072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169247232).

153007072 is an abundant number, since it is smaller than the sum of its proper divisors (185487392).

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

153007072 is a wasteful number, since it uses less digits than its factorization.

153007072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 312 (or 304 counting only the distinct ones).

The product of its (nonzero) digits is 1470, while the sum is 25.

The square root of 153007072 is about 12369.6027422064. The cubic root of 153007072 is about 534.8563646199.

The spelling of 153007072 in words is "one hundred fifty-three million, seven thousand, seventy-two".