152697072 has 160 divisors (see below), whose sum is σ = 468541440. Its totient is φ = 42336000.

The previous prime is 152697067. The next prime is 152697131. The reversal of 152697072 is 270796251.

152697072 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 152697072.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 310747 + ... + 311237.

It is an arithmetic number, because the mean of its divisors is an integer number (2928384).

Almost surely, 2^152697072 is an apocalyptic number.

152697072 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 152697072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (234270720).

152697072 is an abundant number, since it is smaller than the sum of its proper divisors (315844368).

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

152697072 is a wasteful number, since it uses less digits than its factorization.

152697072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 563 (or 557 counting only the distinct ones).

The product of its (nonzero) digits is 52920, while the sum is 39.

The square root of 152697072 is about 12357.0656711049. The cubic root of 152697072 is about 534.4949051270.

The spelling of 152697072 in words is "one hundred fifty-two million, six hundred ninety-seven thousand, seventy-two".