77257152 has 140 divisors (see below), whose sum is σ = 261853680. Its totient is φ = 22063104.

The previous prime is 77257133. The next prime is 77257157. The reversal of 77257152 is 25175277.

It is a super-2 number, since 2×77257152² = 11937335070302208, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (77257157) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 35224 + ... + 37352.

Almost surely, 2^77257152 is an apocalyptic number.

77257152 is a gapful number since it is divisible by the number (72) 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 77257152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130926840).

77257152 is an abundant number, since it is smaller than the sum of its proper divisors (184596528).

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

77257152 is a wasteful number, since it uses less digits than its factorization.

77257152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2160 (or 2141 counting only the distinct ones).

The product of its digits is 34300, while the sum is 36.

The square root of 77257152 is about 8789.6047692715. The cubic root of 77257152 is about 425.9051564300.

The spelling of 77257152 in words is "seventy-seven million, two hundred fifty-seven thousand, one hundred fifty-two".