61526772 has 18 divisors (see below), whose sum is σ = 155526098. Its totient is φ = 20508912.

The previous prime is 61526767. The next prime is 61526779. The reversal of 61526772 is 27762516.

61526772 is a `hidden beast` number, since 61 + 526 + 7 + 72 = 666.

It can be written as a sum of positive squares in only one way, i.e., 58155876 + 3370896 = 7626^2 + 1836^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36), and also a Moran number because the ratio is a prime number: 1709077 = 61526772 / (6 + 1 + 5 + 2 + 6 + 7 + 7 + 2).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (61526779) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 854503 + ... + 854574.

Almost surely, 2^61526772 is an apocalyptic number.

It is an amenable number.

61526772 is an abundant number, since it is smaller than the sum of its proper divisors (93999326).

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

61526772 is a wasteful number, since it uses less digits than its factorization.

61526772 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1709087 (or 1709082 counting only the distinct ones).

The product of its digits is 35280, while the sum is 36.

The square root of 61526772 is about 7843.9003053328. The cubic root of 61526772 is about 394.7796067970.

The spelling of 61526772 in words is "sixty-one million, five hundred twenty-six thousand, seven hundred seventy-two".