76153072 has 40 divisors (see below), whose sum is σ = 156396240. Its totient is φ = 35857920.

The previous prime is 76153057. The next prime is 76153079. The reversal of 76153072 is 27035167.

It is a Smith number, since the sum of its digits (31) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (76153079) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 17023 + ... + 21025.

It is an arithmetic number, because the mean of its divisors is an integer number (3909906).

Almost surely, 2^76153072 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 76153072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78198120).

76153072 is an abundant number, since it is smaller than the sum of its proper divisors (80243168).

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

76153072 is a wasteful number, since it uses less digits than its factorization.

76153072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4081 (or 4075 counting only the distinct ones).

The product of its (nonzero) digits is 8820, while the sum is 31.

The square root of 76153072 is about 8726.5727522321. The cubic root of 76153072 is about 423.8665475344.

The spelling of 76153072 in words is "seventy-six million, one hundred fifty-three thousand, seventy-two".