60753672 has 128 divisors (see below), whose sum is σ = 201369600. Its totient is φ = 16593984.

The previous prime is 60753643. The next prime is 60753683. The reversal of 60753672 is 27635706.

It is a happy number.

It is a super-2 number, since 2×60753672² = 7382017322967168, which contains 22 as substring.

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).

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, 33903 + ... + 35649.

It is an arithmetic number, because the mean of its divisors is an integer number (1573200).

Almost surely, 2^60753672 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 60753672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100684800).

60753672 is an abundant number, since it is smaller than the sum of its proper divisors (140615928).

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

60753672 is a wasteful number, since it uses less digits than its factorization.

60753672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1792 (or 1782 counting only the distinct ones).

The product of its (nonzero) digits is 52920, while the sum is 36.

The square root of 60753672 is about 7794.4641894103. The cubic root of 60753672 is about 393.1191294346.

It can be divided in two parts, 60753 and 672, that added together give a triangular number (61425 = T₃₅₀).

The spelling of 60753672 in words is "sixty million, seven hundred fifty-three thousand, six hundred seventy-two".