73727712 has 48 divisors (see below), whose sum is σ = 215041680. Its totient is φ = 24575616.

The previous prime is 73727701. The next prime is 73727723. The reversal of 73727712 is 21772737.

It is an interprime number because it is at equal distance from previous prime (73727701) and next prime (73727723).

It is a tau number, because it is divible by the number of its divisors (48).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 41803 + ... + 43530.

It is an arithmetic number, because the mean of its divisors is an integer number (4480035).

Almost surely, 2^73727712 is an apocalyptic number.

73727712 is a gapful number since it is divisible by the number (72) formed by its first and last digit.

It is an amenable number.

73727712 is an abundant number, since it is smaller than the sum of its proper divisors (141313968).

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

73727712 is a wasteful number, since it uses less digits than its factorization.

73727712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 85352 (or 85338 counting only the distinct ones).

The product of its digits is 28812, while the sum is 36.

The square root of 73727712 is about 8586.4842630730. The cubic root of 73727712 is about 419.3180770849.

The spelling of 73727712 in words is "seventy-three million, seven hundred twenty-seven thousand, seven hundred twelve".