61653172 has 72 divisors (see below), whose sum is σ = 132276480. Its totient is φ = 25038720.

The previous prime is 61653167. The next prime is 61653173. The reversal of 61653172 is 27135616.

It is a super-3 number, since 3×61653172³ (a number of 24 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (31).

Its product of digits (7560) is a multiple of the sum of its prime divisors (252).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (61653173) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 443479 + ... + 443617.

Almost surely, 2^61653172 is an apocalyptic number.

61653172 is a gapful number since it is divisible by the number (62) 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 61653172, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66138240).

61653172 is an abundant number, since it is smaller than the sum of its proper divisors (70623308).

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

61653172 is a wasteful number, since it uses less digits than its factorization.

61653172 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 261 (or 252 counting only the distinct ones).

The product of its digits is 7560, while the sum is 31.

The square root of 61653172 is about 7851.9533875336. The cubic root of 61653172 is about 395.0497656681.

Adding to 61653172 its reverse (27135616), we get a palindrome (88788788).

The spelling of 61653172 in words is "sixty-one million, six hundred fifty-three thousand, one hundred seventy-two".